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Finding the Third Proportional to 71,496 and 152,810

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Solution

The third proportional to 71,496 and 152,810 is: 326,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,496 : 152,810 = 152,810 : x
  2. Step 2: Convert to fraction form
    71,496/152,810 = 152,810/x
  3. Step 3: Cross multiply
    71,496x = 152,810 × 152,810
  4. Step 4: Simplify right side
    71,496x = 23,350,896,100
  5. Step 5: Solve for x
    x = 23,350,896,100/71,496
  6. Step 6: Final answer
    x = 326,604.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.