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Finding the Third Proportional to 75,024 and 113,340

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Solution

The third proportional to 75,024 and 113,340 is: 171,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 113,340 = 113,340 : x
  2. Step 2: Convert to fraction form
    75,024/113,340 = 113,340/x
  3. Step 3: Cross multiply
    75,024x = 113,340 × 113,340
  4. Step 4: Simplify right side
    75,024x = 12,845,955,600
  5. Step 5: Solve for x
    x = 12,845,955,600/75,024
  6. Step 6: Final answer
    x = 171,224.62

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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.