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Finding the Third Proportional to 71,619 and 156,076

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Solution

The third proportional to 71,619 and 156,076 is: 340,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,619 : 156,076 = 156,076 : x
  2. Step 2: Convert to fraction form
    71,619/156,076 = 156,076/x
  3. Step 3: Cross multiply
    71,619x = 156,076 × 156,076
  4. Step 4: Simplify right side
    71,619x = 24,359,717,776
  5. Step 5: Solve for x
    x = 24,359,717,776/71,619
  6. Step 6: Final answer
    x = 340,129.26

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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.