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Finding the Third Proportional to 71,114 and 156,546

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Solution

The third proportional to 71,114 and 156,546 is: 344,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,114 : 156,546 = 156,546 : x
  2. Step 2: Convert to fraction form
    71,114/156,546 = 156,546/x
  3. Step 3: Cross multiply
    71,114x = 156,546 × 156,546
  4. Step 4: Simplify right side
    71,114x = 24,506,650,116
  5. Step 5: Solve for x
    x = 24,506,650,116/71,114
  6. Step 6: Final answer
    x = 344,610.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.