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Finding the Third Proportional to 67,476 and 99,027

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Solution

The third proportional to 67,476 and 99,027 is: 145,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,476 : 99,027 = 99,027 : x
  2. Step 2: Convert to fraction form
    67,476/99,027 = 99,027/x
  3. Step 3: Cross multiply
    67,476x = 99,027 × 99,027
  4. Step 4: Simplify right side
    67,476x = 9,806,346,729
  5. Step 5: Solve for x
    x = 9,806,346,729/67,476
  6. Step 6: Final answer
    x = 145,330.88

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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.