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Finding the Third Proportional to 78,648.75 and 125,097.75

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Solution

The third proportional to 78,648.75 and 125,097.75 is: 198,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,648.75 : 125,097.75 = 125,097.75 : x
  2. Step 2: Convert to fraction form
    78,648.75/125,097.75 = 125,097.75/x
  3. Step 3: Cross multiply
    78,648.75x = 125,097.75 × 125,097.75
  4. Step 4: Simplify right side
    78,648.75x = 15,649,447,055.06
  5. Step 5: Solve for x
    x = 15,649,447,055.06/78,648.75
  6. Step 6: Final answer
    x = 198,978.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.