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Finding the Third Proportional to 98,086 and 138,124

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Solution

The third proportional to 98,086 and 138,124 is: 194,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,086 : 138,124 = 138,124 : x
  2. Step 2: Convert to fraction form
    98,086/138,124 = 138,124/x
  3. Step 3: Cross multiply
    98,086x = 138,124 × 138,124
  4. Step 4: Simplify right side
    98,086x = 19,078,239,376
  5. Step 5: Solve for x
    x = 19,078,239,376/98,086
  6. Step 6: Final answer
    x = 194,505.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.