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Finding the Third Proportional to 67,689 and 99,222.75

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Solution

The third proportional to 67,689 and 99,222.75 is: 145,446.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,689 : 99,222.75 = 99,222.75 : x
  2. Step 2: Convert to fraction form
    67,689/99,222.75 = 99,222.75/x
  3. Step 3: Cross multiply
    67,689x = 99,222.75 × 99,222.75
  4. Step 4: Simplify right side
    67,689x = 9,845,154,117.56
  5. Step 5: Solve for x
    x = 9,845,154,117.56/67,689
  6. Step 6: Final answer
    x = 145,446.88

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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.