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Finding the Third Proportional to 71,957 and 112,629

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Solution

The third proportional to 71,957 and 112,629 is: 176,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,957 : 112,629 = 112,629 : x
  2. Step 2: Convert to fraction form
    71,957/112,629 = 112,629/x
  3. Step 3: Cross multiply
    71,957x = 112,629 × 112,629
  4. Step 4: Simplify right side
    71,957x = 12,685,291,641
  5. Step 5: Solve for x
    x = 12,685,291,641/71,957
  6. Step 6: Final answer
    x = 176,289.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.