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Finding the Third Proportional to 71,257 and 156,733

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Solution

The third proportional to 71,257 and 156,733 is: 344,741.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,257 : 156,733 = 156,733 : x
  2. Step 2: Convert to fraction form
    71,257/156,733 = 156,733/x
  3. Step 3: Cross multiply
    71,257x = 156,733 × 156,733
  4. Step 4: Simplify right side
    71,257x = 24,565,233,289
  5. Step 5: Solve for x
    x = 24,565,233,289/71,257
  6. Step 6: Final answer
    x = 344,741.33

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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.