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Finding the Third Proportional to 44,140 and 68,398

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Solution

The third proportional to 44,140 and 68,398 is: 105,987.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,140 : 68,398 = 68,398 : x
  2. Step 2: Convert to fraction form
    44,140/68,398 = 68,398/x
  3. Step 3: Cross multiply
    44,140x = 68,398 × 68,398
  4. Step 4: Simplify right side
    44,140x = 4,678,286,404
  5. Step 5: Solve for x
    x = 4,678,286,404/44,140
  6. Step 6: Final answer
    x = 105,987.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.