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Finding the Third Proportional to 84,697.88 and 123,859.97

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Solution

The third proportional to 84,697.88 and 123,859.97 is: 181,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,697.88 : 123,859.97 = 123,859.97 : x
  2. Step 2: Convert to fraction form
    84,697.88/123,859.97 = 123,859.97/x
  3. Step 3: Cross multiply
    84,697.88x = 123,859.97 × 123,859.97
  4. Step 4: Simplify right side
    84,697.88x = 15,341,291,858.75
  5. Step 5: Solve for x
    x = 15,341,291,858.75/84,697.88
  6. Step 6: Final answer
    x = 181,129.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.