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Finding the Third Proportional to 132,671 and 205,437

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Solution

The third proportional to 132,671 and 205,437 is: 318,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,671 : 205,437 = 205,437 : x
  2. Step 2: Convert to fraction form
    132,671/205,437 = 205,437/x
  3. Step 3: Cross multiply
    132,671x = 205,437 × 205,437
  4. Step 4: Simplify right side
    132,671x = 42,204,360,969
  5. Step 5: Solve for x
    x = 42,204,360,969/132,671
  6. Step 6: Final answer
    x = 318,112.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.