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Finding the Third Proportional to 98,938 and 138,398

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Solution

The third proportional to 98,938 and 138,398 is: 193,596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,938 : 138,398 = 138,398 : x
  2. Step 2: Convert to fraction form
    98,938/138,398 = 138,398/x
  3. Step 3: Cross multiply
    98,938x = 138,398 × 138,398
  4. Step 4: Simplify right side
    98,938x = 19,154,006,404
  5. Step 5: Solve for x
    x = 19,154,006,404/98,938
  6. Step 6: Final answer
    x = 193,596.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.