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Finding the Third Proportional to 127,618 and 187,741

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Solution

The third proportional to 127,618 and 187,741 is: 276,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,618 : 187,741 = 187,741 : x
  2. Step 2: Convert to fraction form
    127,618/187,741 = 187,741/x
  3. Step 3: Cross multiply
    127,618x = 187,741 × 187,741
  4. Step 4: Simplify right side
    127,618x = 35,246,683,081
  5. Step 5: Solve for x
    x = 35,246,683,081/127,618
  6. Step 6: Final answer
    x = 276,188.96

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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.