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Finding the Third Proportional to 77,098.50 and 123,027.75

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Solution

The third proportional to 77,098.50 and 123,027.75 is: 196,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,098.50 : 123,027.75 = 123,027.75 : x
  2. Step 2: Convert to fraction form
    77,098.50/123,027.75 = 123,027.75/x
  3. Step 3: Cross multiply
    77,098.50x = 123,027.75 × 123,027.75
  4. Step 4: Simplify right side
    77,098.50x = 15,135,827,270.06
  5. Step 5: Solve for x
    x = 15,135,827,270.06/77,098.50
  6. Step 6: Final answer
    x = 196,318.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.