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Finding the Third Proportional to 127,638 and 187,770

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Solution

The third proportional to 127,638 and 187,770 is: 276,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,638 : 187,770 = 187,770 : x
  2. Step 2: Convert to fraction form
    127,638/187,770 = 187,770/x
  3. Step 3: Cross multiply
    127,638x = 187,770 × 187,770
  4. Step 4: Simplify right side
    127,638x = 35,257,572,900
  5. Step 5: Solve for x
    x = 35,257,572,900/127,638
  6. Step 6: Final answer
    x = 276,231.00

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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.