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Finding the Third Proportional to 49,906 and 71,737

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Solution

The third proportional to 49,906 and 71,737 is: 103,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,906 : 71,737 = 71,737 : x
  2. Step 2: Convert to fraction form
    49,906/71,737 = 71,737/x
  3. Step 3: Cross multiply
    49,906x = 71,737 × 71,737
  4. Step 4: Simplify right side
    49,906x = 5,146,197,169
  5. Step 5: Solve for x
    x = 5,146,197,169/49,906
  6. Step 6: Final answer
    x = 103,117.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.