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Finding the Third Proportional to 76,439.25 and 115,813.13

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Solution

The third proportional to 76,439.25 and 115,813.13 is: 175,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,439.25 : 115,813.13 = 115,813.13 : x
  2. Step 2: Convert to fraction form
    76,439.25/115,813.13 = 115,813.13/x
  3. Step 3: Cross multiply
    76,439.25x = 115,813.13 × 115,813.13
  4. Step 4: Simplify right side
    76,439.25x = 13,412,679,922.27
  5. Step 5: Solve for x
    x = 13,412,679,922.27/76,439.25
  6. Step 6: Final answer
    x = 175,468.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.