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Finding the Third Proportional to 55,806 and 83,703

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Solution

The third proportional to 55,806 and 83,703 is: 125,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806 : 83,703 = 83,703 : x
  2. Step 2: Convert to fraction form
    55,806/83,703 = 83,703/x
  3. Step 3: Cross multiply
    55,806x = 83,703 × 83,703
  4. Step 4: Simplify right side
    55,806x = 7,006,192,209
  5. Step 5: Solve for x
    x = 7,006,192,209/55,806
  6. Step 6: Final answer
    x = 125,545.50

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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.