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Finding the Third Proportional to 49,101 and 75,081

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Solution

The third proportional to 49,101 and 75,081 is: 114,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101 : 75,081 = 75,081 : x
  2. Step 2: Convert to fraction form
    49,101/75,081 = 75,081/x
  3. Step 3: Cross multiply
    49,101x = 75,081 × 75,081
  4. Step 4: Simplify right side
    49,101x = 5,637,156,561
  5. Step 5: Solve for x
    x = 5,637,156,561/49,101
  6. Step 6: Final answer
    x = 114,807.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.