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Finding the Third Proportional to 48,543 and 75,408

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Solution

The third proportional to 48,543 and 75,408 is: 117,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,543 : 75,408 = 75,408 : x
  2. Step 2: Convert to fraction form
    48,543/75,408 = 75,408/x
  3. Step 3: Cross multiply
    48,543x = 75,408 × 75,408
  4. Step 4: Simplify right side
    48,543x = 5,686,366,464
  5. Step 5: Solve for x
    x = 5,686,366,464/48,543
  6. Step 6: Final answer
    x = 117,140.81

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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.