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Finding the Third Proportional to 132,472 and 199,952

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Solution

The third proportional to 132,472 and 199,952 is: 301,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,472 : 199,952 = 199,952 : x
  2. Step 2: Convert to fraction form
    132,472/199,952 = 199,952/x
  3. Step 3: Cross multiply
    132,472x = 199,952 × 199,952
  4. Step 4: Simplify right side
    132,472x = 39,980,802,304
  5. Step 5: Solve for x
    x = 39,980,802,304/132,472
  6. Step 6: Final answer
    x = 301,805.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.