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Finding the Third Proportional to 96,646.50 and 115,789.50

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Solution

The third proportional to 96,646.50 and 115,789.50 is: 138,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,646.50 : 115,789.50 = 115,789.50 : x
  2. Step 2: Convert to fraction form
    96,646.50/115,789.50 = 115,789.50/x
  3. Step 3: Cross multiply
    96,646.50x = 115,789.50 × 115,789.50
  4. Step 4: Simplify right side
    96,646.50x = 13,407,208,310.25
  5. Step 5: Solve for x
    x = 13,407,208,310.25/96,646.50
  6. Step 6: Final answer
    x = 138,724.20

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.