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Finding the Third Proportional to 132,466 and 186,062

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Solution

The third proportional to 132,466 and 186,062 is: 261,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,466 : 186,062 = 186,062 : x
  2. Step 2: Convert to fraction form
    132,466/186,062 = 186,062/x
  3. Step 3: Cross multiply
    132,466x = 186,062 × 186,062
  4. Step 4: Simplify right side
    132,466x = 34,619,067,844
  5. Step 5: Solve for x
    x = 34,619,067,844/132,466
  6. Step 6: Final answer
    x = 261,343.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.