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Finding the Third Proportional to 102,250.13 and 169,819.88

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Solution

The third proportional to 102,250.13 and 169,819.88 is: 282,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,250.13 : 169,819.88 = 169,819.88 : x
  2. Step 2: Convert to fraction form
    102,250.13/169,819.88 = 169,819.88/x
  3. Step 3: Cross multiply
    102,250.13x = 169,819.88 × 169,819.88
  4. Step 4: Simplify right side
    102,250.13x = 28,838,789,945.02
  5. Step 5: Solve for x
    x = 28,838,789,945.02/102,250.13
  6. Step 6: Final answer
    x = 282,041.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.