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Finding the Third Proportional to 115,170 and 169,458

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Solution

The third proportional to 115,170 and 169,458 is: 249,335.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,170 : 169,458 = 169,458 : x
  2. Step 2: Convert to fraction form
    115,170/169,458 = 169,458/x
  3. Step 3: Cross multiply
    115,170x = 169,458 × 169,458
  4. Step 4: Simplify right side
    115,170x = 28,716,013,764
  5. Step 5: Solve for x
    x = 28,716,013,764/115,170
  6. Step 6: Final answer
    x = 249,335.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.