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Finding the Third Proportional to 60,854 and 88,581

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Solution

The third proportional to 60,854 and 88,581 is: 128,941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,854 : 88,581 = 88,581 : x
  2. Step 2: Convert to fraction form
    60,854/88,581 = 88,581/x
  3. Step 3: Cross multiply
    60,854x = 88,581 × 88,581
  4. Step 4: Simplify right side
    60,854x = 7,846,593,561
  5. Step 5: Solve for x
    x = 7,846,593,561/60,854
  6. Step 6: Final answer
    x = 128,941.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.