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Finding the Third Proportional to 127,055 and 187,063

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Solution

The third proportional to 127,055 and 187,063 is: 275,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,055 : 187,063 = 187,063 : x
  2. Step 2: Convert to fraction form
    127,055/187,063 = 187,063/x
  3. Step 3: Cross multiply
    127,055x = 187,063 × 187,063
  4. Step 4: Simplify right side
    127,055x = 34,992,565,969
  5. Step 5: Solve for x
    x = 34,992,565,969/127,055
  6. Step 6: Final answer
    x = 275,412.74

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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.