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Finding the Third Proportional to 67,730 and 99,631

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Solution

The third proportional to 67,730 and 99,631 is: 146,557.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,730 : 99,631 = 99,631 : x
  2. Step 2: Convert to fraction form
    67,730/99,631 = 99,631/x
  3. Step 3: Cross multiply
    67,730x = 99,631 × 99,631
  4. Step 4: Simplify right side
    67,730x = 9,926,336,161
  5. Step 5: Solve for x
    x = 9,926,336,161/67,730
  6. Step 6: Final answer
    x = 146,557.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.