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Finding the Third Proportional to 132,417 and 170,019

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Solution

The third proportional to 132,417 and 170,019 is: 218,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,417 : 170,019 = 170,019 : x
  2. Step 2: Convert to fraction form
    132,417/170,019 = 170,019/x
  3. Step 3: Cross multiply
    132,417x = 170,019 × 170,019
  4. Step 4: Simplify right side
    132,417x = 28,906,460,361
  5. Step 5: Solve for x
    x = 28,906,460,361/132,417
  6. Step 6: Final answer
    x = 218,298.71

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.