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Finding the Third Proportional to 75,574 and 112,966

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Solution

The third proportional to 75,574 and 112,966 is: 168,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,574 : 112,966 = 112,966 : x
  2. Step 2: Convert to fraction form
    75,574/112,966 = 112,966/x
  3. Step 3: Cross multiply
    75,574x = 112,966 × 112,966
  4. Step 4: Simplify right side
    75,574x = 12,761,317,156
  5. Step 5: Solve for x
    x = 12,761,317,156/75,574
  6. Step 6: Final answer
    x = 168,858.56

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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.