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Finding the Third Proportional to 132,444 and 170,055

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Solution

The third proportional to 132,444 and 170,055 is: 218,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,444 : 170,055 = 170,055 : x
  2. Step 2: Convert to fraction form
    132,444/170,055 = 170,055/x
  3. Step 3: Cross multiply
    132,444x = 170,055 × 170,055
  4. Step 4: Simplify right side
    132,444x = 28,918,703,025
  5. Step 5: Solve for x
    x = 28,918,703,025/132,444
  6. Step 6: Final answer
    x = 218,346.64

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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.