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Finding the Third Proportional to 127,716 and 187,862

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Solution

The third proportional to 127,716 and 187,862 is: 276,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,716 : 187,862 = 187,862 : x
  2. Step 2: Convert to fraction form
    127,716/187,862 = 187,862/x
  3. Step 3: Cross multiply
    127,716x = 187,862 × 187,862
  4. Step 4: Simplify right side
    127,716x = 35,292,131,044
  5. Step 5: Solve for x
    x = 35,292,131,044/127,716
  6. Step 6: Final answer
    x = 276,332.89

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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.