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Finding the Third Proportional to 49,432 and 76,606

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Solution

The third proportional to 49,432 and 76,606 is: 118,718.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,432 : 76,606 = 76,606 : x
  2. Step 2: Convert to fraction form
    49,432/76,606 = 76,606/x
  3. Step 3: Cross multiply
    49,432x = 76,606 × 76,606
  4. Step 4: Simplify right side
    49,432x = 5,868,479,236
  5. Step 5: Solve for x
    x = 5,868,479,236/49,432
  6. Step 6: Final answer
    x = 118,718.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.