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Finding the Third Proportional to 71,570 and 155,830

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Solution

The third proportional to 71,570 and 155,830 is: 339,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,570 : 155,830 = 155,830 : x
  2. Step 2: Convert to fraction form
    71,570/155,830 = 155,830/x
  3. Step 3: Cross multiply
    71,570x = 155,830 × 155,830
  4. Step 4: Simplify right side
    71,570x = 24,282,988,900
  5. Step 5: Solve for x
    x = 24,282,988,900/71,570
  6. Step 6: Final answer
    x = 339,290.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.