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Finding the Third Proportional to 48,701 and 76,127

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Solution

The third proportional to 48,701 and 76,127 is: 118,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701 : 76,127 = 76,127 : x
  2. Step 2: Convert to fraction form
    48,701/76,127 = 76,127/x
  3. Step 3: Cross multiply
    48,701x = 76,127 × 76,127
  4. Step 4: Simplify right side
    48,701x = 5,795,320,129
  5. Step 5: Solve for x
    x = 5,795,320,129/48,701
  6. Step 6: Final answer
    x = 118,997.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.