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Finding the Third Proportional to 102,750 and 153,432

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Solution

The third proportional to 102,750 and 153,432 is: 229,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,750 : 153,432 = 153,432 : x
  2. Step 2: Convert to fraction form
    102,750/153,432 = 153,432/x
  3. Step 3: Cross multiply
    102,750x = 153,432 × 153,432
  4. Step 4: Simplify right side
    102,750x = 23,541,378,624
  5. Step 5: Solve for x
    x = 23,541,378,624/102,750
  6. Step 6: Final answer
    x = 229,113.17

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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.