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Finding the Third Proportional to 117,543.75 and 176,579.25

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Solution

The third proportional to 117,543.75 and 176,579.25 is: 265,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543.75 : 176,579.25 = 176,579.25 : x
  2. Step 2: Convert to fraction form
    117,543.75/176,579.25 = 176,579.25/x
  3. Step 3: Cross multiply
    117,543.75x = 176,579.25 × 176,579.25
  4. Step 4: Simplify right side
    117,543.75x = 31,180,231,530.56
  5. Step 5: Solve for x
    x = 31,180,231,530.56/117,543.75
  6. Step 6: Final answer
    x = 265,264.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.