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Finding the Third Proportional to 102,760 and 153,720

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Solution

The third proportional to 102,760 and 153,720 is: 229,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,760 : 153,720 = 153,720 : x
  2. Step 2: Convert to fraction form
    102,760/153,720 = 153,720/x
  3. Step 3: Cross multiply
    102,760x = 153,720 × 153,720
  4. Step 4: Simplify right side
    102,760x = 23,629,838,400
  5. Step 5: Solve for x
    x = 23,629,838,400/102,760
  6. Step 6: Final answer
    x = 229,951.72

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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.