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Finding the Third Proportional to 106,359 and 159,534

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Solution

The third proportional to 106,359 and 159,534 is: 239,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,359 : 159,534 = 159,534 : x
  2. Step 2: Convert to fraction form
    106,359/159,534 = 159,534/x
  3. Step 3: Cross multiply
    106,359x = 159,534 × 159,534
  4. Step 4: Simplify right side
    106,359x = 25,451,097,156
  5. Step 5: Solve for x
    x = 25,451,097,156/106,359
  6. Step 6: Final answer
    x = 239,294.25

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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.