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Finding the Third Proportional to 75,129 and 112,458

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Solution

The third proportional to 75,129 and 112,458 is: 168,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,129 : 112,458 = 112,458 : x
  2. Step 2: Convert to fraction form
    75,129/112,458 = 112,458/x
  3. Step 3: Cross multiply
    75,129x = 112,458 × 112,458
  4. Step 4: Simplify right side
    75,129x = 12,646,801,764
  5. Step 5: Solve for x
    x = 12,646,801,764/75,129
  6. Step 6: Final answer
    x = 168,334.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.