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Finding the Third Proportional to 75,579.75 and 114,220.13

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Solution

The third proportional to 75,579.75 and 114,220.13 is: 172,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,579.75 : 114,220.13 = 114,220.13 : x
  2. Step 2: Convert to fraction form
    75,579.75/114,220.13 = 114,220.13/x
  3. Step 3: Cross multiply
    75,579.75x = 114,220.13 × 114,220.13
  4. Step 4: Simplify right side
    75,579.75x = 13,046,236,955.02
  5. Step 5: Solve for x
    x = 13,046,236,955.02/75,579.75
  6. Step 6: Final answer
    x = 172,615.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.