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Finding the Third Proportional to 132,412 and 170,015

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Solution

The third proportional to 132,412 and 170,015 is: 218,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,412 : 170,015 = 170,015 : x
  2. Step 2: Convert to fraction form
    132,412/170,015 = 170,015/x
  3. Step 3: Cross multiply
    132,412x = 170,015 × 170,015
  4. Step 4: Simplify right side
    132,412x = 28,905,100,225
  5. Step 5: Solve for x
    x = 28,905,100,225/132,412
  6. Step 6: Final answer
    x = 218,296.68

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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.