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Finding the Third Proportional to 48,693 and 75,189

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Solution

The third proportional to 48,693 and 75,189 is: 116,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,693 : 75,189 = 75,189 : x
  2. Step 2: Convert to fraction form
    48,693/75,189 = 75,189/x
  3. Step 3: Cross multiply
    48,693x = 75,189 × 75,189
  4. Step 4: Simplify right side
    48,693x = 5,653,385,721
  5. Step 5: Solve for x
    x = 5,653,385,721/48,693
  6. Step 6: Final answer
    x = 116,102.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.