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Finding the Third Proportional to 45,677 and 99,632

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Solution

The third proportional to 45,677 and 99,632 is: 217,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,677 : 99,632 = 99,632 : x
  2. Step 2: Convert to fraction form
    45,677/99,632 = 99,632/x
  3. Step 3: Cross multiply
    45,677x = 99,632 × 99,632
  4. Step 4: Simplify right side
    45,677x = 9,926,535,424
  5. Step 5: Solve for x
    x = 9,926,535,424/45,677
  6. Step 6: Final answer
    x = 217,320.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.