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Finding the Third Proportional to 127,122 and 186,432

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Solution

The third proportional to 127,122 and 186,432 is: 273,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,122 : 186,432 = 186,432 : x
  2. Step 2: Convert to fraction form
    127,122/186,432 = 186,432/x
  3. Step 3: Cross multiply
    127,122x = 186,432 × 186,432
  4. Step 4: Simplify right side
    127,122x = 34,756,890,624
  5. Step 5: Solve for x
    x = 34,756,890,624/127,122
  6. Step 6: Final answer
    x = 273,413.65

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Why These Related Problems?

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