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Finding the Third Proportional to 96,266.75 and 144,400.25

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Solution

The third proportional to 96,266.75 and 144,400.25 is: 216,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,266.75 : 144,400.25 = 144,400.25 : x
  2. Step 2: Convert to fraction form
    96,266.75/144,400.25 = 144,400.25/x
  3. Step 3: Cross multiply
    96,266.75x = 144,400.25 × 144,400.25
  4. Step 4: Simplify right side
    96,266.75x = 20,851,432,200.06
  5. Step 5: Solve for x
    x = 20,851,432,200.06/96,266.75
  6. Step 6: Final answer
    x = 216,600.56

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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.