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Finding the Third Proportional to 76,134.94 and 108,218.53

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Solution

The third proportional to 76,134.94 and 108,218.53 is: 153,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134.94 : 108,218.53 = 108,218.53 : x
  2. Step 2: Convert to fraction form
    76,134.94/108,218.53 = 108,218.53/x
  3. Step 3: Cross multiply
    76,134.94x = 108,218.53 × 108,218.53
  4. Step 4: Simplify right side
    76,134.94x = 11,711,250,505.91
  5. Step 5: Solve for x
    x = 11,711,250,505.91/76,134.94
  6. Step 6: Final answer
    x = 153,822.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.