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Finding the Third Proportional to 127,608 and 187,458

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Solution

The third proportional to 127,608 and 187,458 is: 275,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,608 : 187,458 = 187,458 : x
  2. Step 2: Convert to fraction form
    127,608/187,458 = 187,458/x
  3. Step 3: Cross multiply
    127,608x = 187,458 × 187,458
  4. Step 4: Simplify right side
    127,608x = 35,140,501,764
  5. Step 5: Solve for x
    x = 35,140,501,764/127,608
  6. Step 6: Final answer
    x = 275,378.52

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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.