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Finding the Third Proportional to 106,281 and 158,854

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Solution

The third proportional to 106,281 and 158,854 is: 237,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,281 : 158,854 = 158,854 : x
  2. Step 2: Convert to fraction form
    106,281/158,854 = 158,854/x
  3. Step 3: Cross multiply
    106,281x = 158,854 × 158,854
  4. Step 4: Simplify right side
    106,281x = 25,234,593,316
  5. Step 5: Solve for x
    x = 25,234,593,316/106,281
  6. Step 6: Final answer
    x = 237,432.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.