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Finding the Third Proportional to 71,022 and 153,060

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Solution

The third proportional to 71,022 and 153,060 is: 329,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,022 : 153,060 = 153,060 : x
  2. Step 2: Convert to fraction form
    71,022/153,060 = 153,060/x
  3. Step 3: Cross multiply
    71,022x = 153,060 × 153,060
  4. Step 4: Simplify right side
    71,022x = 23,427,363,600
  5. Step 5: Solve for x
    x = 23,427,363,600/71,022
  6. Step 6: Final answer
    x = 329,860.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.