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Finding the Third Proportional to 81,099 and 124,724.25

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Solution

The third proportional to 81,099 and 124,724.25 is: 191,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,099 : 124,724.25 = 124,724.25 : x
  2. Step 2: Convert to fraction form
    81,099/124,724.25 = 124,724.25/x
  3. Step 3: Cross multiply
    81,099x = 124,724.25 × 124,724.25
  4. Step 4: Simplify right side
    81,099x = 15,556,138,538.06
  5. Step 5: Solve for x
    x = 15,556,138,538.06/81,099
  6. Step 6: Final answer
    x = 191,816.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.