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Finding the Third Proportional to 71,011 and 156,791

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Solution

The third proportional to 71,011 and 156,791 is: 346,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,011 : 156,791 = 156,791 : x
  2. Step 2: Convert to fraction form
    71,011/156,791 = 156,791/x
  3. Step 3: Cross multiply
    71,011x = 156,791 × 156,791
  4. Step 4: Simplify right side
    71,011x = 24,583,417,681
  5. Step 5: Solve for x
    x = 24,583,417,681/71,011
  6. Step 6: Final answer
    x = 346,191.68

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.