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Finding the Third Proportional to 69,342 and 106,605

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Solution

The third proportional to 69,342 and 106,605 is: 163,892.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,342 : 106,605 = 106,605 : x
  2. Step 2: Convert to fraction form
    69,342/106,605 = 106,605/x
  3. Step 3: Cross multiply
    69,342x = 106,605 × 106,605
  4. Step 4: Simplify right side
    69,342x = 11,364,626,025
  5. Step 5: Solve for x
    x = 11,364,626,025/69,342
  6. Step 6: Final answer
    x = 163,892.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.