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Finding the Third Proportional to 75,451.50 and 96,774.75

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Solution

The third proportional to 75,451.50 and 96,774.75 is: 124,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 96,774.75 = 96,774.75 : x
  2. Step 2: Convert to fraction form
    75,451.50/96,774.75 = 96,774.75/x
  3. Step 3: Cross multiply
    75,451.50x = 96,774.75 × 96,774.75
  4. Step 4: Simplify right side
    75,451.50x = 9,365,352,237.56
  5. Step 5: Solve for x
    x = 9,365,352,237.56/75,451.50
  6. Step 6: Final answer
    x = 124,124.14

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.