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Finding the Third Proportional to 60,920 and 94,694

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Solution

The third proportional to 60,920 and 94,694 is: 147,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,920 : 94,694 = 94,694 : x
  2. Step 2: Convert to fraction form
    60,920/94,694 = 94,694/x
  3. Step 3: Cross multiply
    60,920x = 94,694 × 94,694
  4. Step 4: Simplify right side
    60,920x = 8,966,953,636
  5. Step 5: Solve for x
    x = 8,966,953,636/60,920
  6. Step 6: Final answer
    x = 147,192.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.