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Finding the Third Proportional to 84,160 and 126,458

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Solution

The third proportional to 84,160 and 126,458 is: 190,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,160 : 126,458 = 126,458 : x
  2. Step 2: Convert to fraction form
    84,160/126,458 = 126,458/x
  3. Step 3: Cross multiply
    84,160x = 126,458 × 126,458
  4. Step 4: Simplify right side
    84,160x = 15,991,625,764
  5. Step 5: Solve for x
    x = 15,991,625,764/84,160
  6. Step 6: Final answer
    x = 190,014.56

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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.