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Finding the Third Proportional to 132,410 and 170,012

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Solution

The third proportional to 132,410 and 170,012 is: 218,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,410 : 170,012 = 170,012 : x
  2. Step 2: Convert to fraction form
    132,410/170,012 = 170,012/x
  3. Step 3: Cross multiply
    132,410x = 170,012 × 170,012
  4. Step 4: Simplify right side
    132,410x = 28,904,080,144
  5. Step 5: Solve for x
    x = 28,904,080,144/132,410
  6. Step 6: Final answer
    x = 218,292.28

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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.