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Finding the Third Proportional to 60,972 and 94,362

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Solution

The third proportional to 60,972 and 94,362 is: 146,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,972 : 94,362 = 94,362 : x
  2. Step 2: Convert to fraction form
    60,972/94,362 = 94,362/x
  3. Step 3: Cross multiply
    60,972x = 94,362 × 94,362
  4. Step 4: Simplify right side
    60,972x = 8,904,187,044
  5. Step 5: Solve for x
    x = 8,904,187,044/60,972
  6. Step 6: Final answer
    x = 146,037.31

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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.