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Finding the Third Proportional to 75,321 and 99,961.13

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Solution

The third proportional to 75,321 and 99,961.13 is: 132,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,321 : 99,961.13 = 99,961.13 : x
  2. Step 2: Convert to fraction form
    75,321/99,961.13 = 99,961.13/x
  3. Step 3: Cross multiply
    75,321x = 99,961.13 × 99,961.13
  4. Step 4: Simplify right side
    75,321x = 9,992,226,511.27
  5. Step 5: Solve for x
    x = 9,992,226,511.27/75,321
  6. Step 6: Final answer
    x = 132,661.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.