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Finding the Third Proportional to 119,088.75 and 169,275

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Solution

The third proportional to 119,088.75 and 169,275 is: 240,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,088.75 : 169,275 = 169,275 : x
  2. Step 2: Convert to fraction form
    119,088.75/169,275 = 169,275/x
  3. Step 3: Cross multiply
    119,088.75x = 169,275 × 169,275
  4. Step 4: Simplify right side
    119,088.75x = 28,654,025,625
  5. Step 5: Solve for x
    x = 28,654,025,625/119,088.75
  6. Step 6: Final answer
    x = 240,610.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.