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Finding the Third Proportional to 68,478 and 96,151.50

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Solution

The third proportional to 68,478 and 96,151.50 is: 135,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,478 : 96,151.50 = 96,151.50 : x
  2. Step 2: Convert to fraction form
    68,478/96,151.50 = 96,151.50/x
  3. Step 3: Cross multiply
    68,478x = 96,151.50 × 96,151.50
  4. Step 4: Simplify right side
    68,478x = 9,245,110,952.25
  5. Step 5: Solve for x
    x = 9,245,110,952.25/68,478
  6. Step 6: Final answer
    x = 135,008.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.