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Finding the Third Proportional to 60,666 and 93,591

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Solution

The third proportional to 60,666 and 93,591 is: 144,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,666 : 93,591 = 93,591 : x
  2. Step 2: Convert to fraction form
    60,666/93,591 = 93,591/x
  3. Step 3: Cross multiply
    60,666x = 93,591 × 93,591
  4. Step 4: Simplify right side
    60,666x = 8,759,275,281
  5. Step 5: Solve for x
    x = 8,759,275,281/60,666
  6. Step 6: Final answer
    x = 144,385.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.