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Finding the Third Proportional to 48,642 and 75,121

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Solution

The third proportional to 48,642 and 75,121 is: 116,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642 : 75,121 = 75,121 : x
  2. Step 2: Convert to fraction form
    48,642/75,121 = 75,121/x
  3. Step 3: Cross multiply
    48,642x = 75,121 × 75,121
  4. Step 4: Simplify right side
    48,642x = 5,643,164,641
  5. Step 5: Solve for x
    x = 5,643,164,641/48,642
  6. Step 6: Final answer
    x = 116,014.24

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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.