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Finding the Third Proportional to 75,581 and 112,976

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Solution

The third proportional to 75,581 and 112,976 is: 168,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,581 : 112,976 = 112,976 : x
  2. Step 2: Convert to fraction form
    75,581/112,976 = 112,976/x
  3. Step 3: Cross multiply
    75,581x = 112,976 × 112,976
  4. Step 4: Simplify right side
    75,581x = 12,763,576,576
  5. Step 5: Solve for x
    x = 12,763,576,576/75,581
  6. Step 6: Final answer
    x = 168,872.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.