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Finding the Third Proportional to 48,106.50 and 75,464

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Solution

The third proportional to 48,106.50 and 75,464 is: 118,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,106.50 : 75,464 = 75,464 : x
  2. Step 2: Convert to fraction form
    48,106.50/75,464 = 75,464/x
  3. Step 3: Cross multiply
    48,106.50x = 75,464 × 75,464
  4. Step 4: Simplify right side
    48,106.50x = 5,694,815,296
  5. Step 5: Solve for x
    x = 5,694,815,296/48,106.50
  6. Step 6: Final answer
    x = 118,379.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.