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Finding the Third Proportional to 127,707 and 187,851

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Solution

The third proportional to 127,707 and 187,851 is: 276,320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,707 : 187,851 = 187,851 : x
  2. Step 2: Convert to fraction form
    127,707/187,851 = 187,851/x
  3. Step 3: Cross multiply
    127,707x = 187,851 × 187,851
  4. Step 4: Simplify right side
    127,707x = 35,287,998,201
  5. Step 5: Solve for x
    x = 35,287,998,201/127,707
  6. Step 6: Final answer
    x = 276,320.00

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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.