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Finding the Third Proportional to 127,228 and 186,952

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Solution

The third proportional to 127,228 and 186,952 is: 274,711.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,228 : 186,952 = 186,952 : x
  2. Step 2: Convert to fraction form
    127,228/186,952 = 186,952/x
  3. Step 3: Cross multiply
    127,228x = 186,952 × 186,952
  4. Step 4: Simplify right side
    127,228x = 34,951,050,304
  5. Step 5: Solve for x
    x = 34,951,050,304/127,228
  6. Step 6: Final answer
    x = 274,711.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.