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Finding the Third Proportional to 71,830 and 156,716

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Solution

The third proportional to 71,830 and 156,716 is: 341,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,830 : 156,716 = 156,716 : x
  2. Step 2: Convert to fraction form
    71,830/156,716 = 156,716/x
  3. Step 3: Cross multiply
    71,830x = 156,716 × 156,716
  4. Step 4: Simplify right side
    71,830x = 24,559,904,656
  5. Step 5: Solve for x
    x = 24,559,904,656/71,830
  6. Step 6: Final answer
    x = 341,917.09

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Why These Related Problems?

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