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Finding the Third Proportional to 77,978.25 and 125,580.38

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Solution

The third proportional to 77,978.25 and 125,580.38 is: 202,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.25 : 125,580.38 = 125,580.38 : x
  2. Step 2: Convert to fraction form
    77,978.25/125,580.38 = 125,580.38/x
  3. Step 3: Cross multiply
    77,978.25x = 125,580.38 × 125,580.38
  4. Step 4: Simplify right side
    77,978.25x = 15,770,430,585.14
  5. Step 5: Solve for x
    x = 15,770,430,585.14/77,978.25
  6. Step 6: Final answer
    x = 202,241.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.