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Finding the Third Proportional to 124,747 and 195,466

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Solution

The third proportional to 124,747 and 195,466 is: 306,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,747 : 195,466 = 195,466 : x
  2. Step 2: Convert to fraction form
    124,747/195,466 = 195,466/x
  3. Step 3: Cross multiply
    124,747x = 195,466 × 195,466
  4. Step 4: Simplify right side
    124,747x = 38,206,957,156
  5. Step 5: Solve for x
    x = 38,206,957,156/124,747
  6. Step 6: Final answer
    x = 306,275.56

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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.