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Finding the Third Proportional to 107,702 and 169,395

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Solution

The third proportional to 107,702 and 169,395 is: 266,426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,702 : 169,395 = 169,395 : x
  2. Step 2: Convert to fraction form
    107,702/169,395 = 169,395/x
  3. Step 3: Cross multiply
    107,702x = 169,395 × 169,395
  4. Step 4: Simplify right side
    107,702x = 28,694,666,025
  5. Step 5: Solve for x
    x = 28,694,666,025/107,702
  6. Step 6: Final answer
    x = 266,426.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.