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Finding the Third Proportional to 130,150 and 176,793

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Solution

The third proportional to 130,150 and 176,793 is: 240,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,150 : 176,793 = 176,793 : x
  2. Step 2: Convert to fraction form
    130,150/176,793 = 176,793/x
  3. Step 3: Cross multiply
    130,150x = 176,793 × 176,793
  4. Step 4: Simplify right side
    130,150x = 31,255,764,849
  5. Step 5: Solve for x
    x = 31,255,764,849/130,150
  6. Step 6: Final answer
    x = 240,151.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.