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Finding the Third Proportional to 47,537 and 71,157

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Solution

The third proportional to 47,537 and 71,157 is: 106,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537 : 71,157 = 71,157 : x
  2. Step 2: Convert to fraction form
    47,537/71,157 = 71,157/x
  3. Step 3: Cross multiply
    47,537x = 71,157 × 71,157
  4. Step 4: Simplify right side
    47,537x = 5,063,318,649
  5. Step 5: Solve for x
    x = 5,063,318,649/47,537
  6. Step 6: Final answer
    x = 106,513.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.