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Finding the Third Proportional to 69,122 and 103,665

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Solution

The third proportional to 69,122 and 103,665 is: 155,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,122 : 103,665 = 103,665 : x
  2. Step 2: Convert to fraction form
    69,122/103,665 = 103,665/x
  3. Step 3: Cross multiply
    69,122x = 103,665 × 103,665
  4. Step 4: Simplify right side
    69,122x = 10,746,432,225
  5. Step 5: Solve for x
    x = 10,746,432,225/69,122
  6. Step 6: Final answer
    x = 155,470.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.