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Finding the Third Proportional to 69,327 and 99,068

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Solution

The third proportional to 69,327 and 99,068 is: 141,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,327 : 99,068 = 99,068 : x
  2. Step 2: Convert to fraction form
    69,327/99,068 = 99,068/x
  3. Step 3: Cross multiply
    69,327x = 99,068 × 99,068
  4. Step 4: Simplify right side
    69,327x = 9,814,468,624
  5. Step 5: Solve for x
    x = 9,814,468,624/69,327
  6. Step 6: Final answer
    x = 141,567.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.