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Finding the Third Proportional to 76,398.75 and 114,742.13

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Solution

The third proportional to 76,398.75 and 114,742.13 is: 172,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398.75 : 114,742.13 = 114,742.13 : x
  2. Step 2: Convert to fraction form
    76,398.75/114,742.13 = 114,742.13/x
  3. Step 3: Cross multiply
    76,398.75x = 114,742.13 × 114,742.13
  4. Step 4: Simplify right side
    76,398.75x = 13,165,755,249.52
  5. Step 5: Solve for x
    x = 13,165,755,249.52/76,398.75
  6. Step 6: Final answer
    x = 172,329.46

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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.