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Finding the Third Proportional to 62,588 and 94,414

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Solution

The third proportional to 62,588 and 94,414 is: 142,423.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,588 : 94,414 = 94,414 : x
  2. Step 2: Convert to fraction form
    62,588/94,414 = 94,414/x
  3. Step 3: Cross multiply
    62,588x = 94,414 × 94,414
  4. Step 4: Simplify right side
    62,588x = 8,914,003,396
  5. Step 5: Solve for x
    x = 8,914,003,396/62,588
  6. Step 6: Final answer
    x = 142,423.52

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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.