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Finding the Third Proportional to 45,092 and 98,686

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Solution

The third proportional to 45,092 and 98,686 is: 215,979.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,092 : 98,686 = 98,686 : x
  2. Step 2: Convert to fraction form
    45,092/98,686 = 98,686/x
  3. Step 3: Cross multiply
    45,092x = 98,686 × 98,686
  4. Step 4: Simplify right side
    45,092x = 9,738,926,596
  5. Step 5: Solve for x
    x = 9,738,926,596/45,092
  6. Step 6: Final answer
    x = 215,979.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.