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Finding the Third Proportional to 49,053 and 75,937.50

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Solution

The third proportional to 49,053 and 75,937.50 is: 117,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,053 : 75,937.50 = 75,937.50 : x
  2. Step 2: Convert to fraction form
    49,053/75,937.50 = 75,937.50/x
  3. Step 3: Cross multiply
    49,053x = 75,937.50 × 75,937.50
  4. Step 4: Simplify right side
    49,053x = 5,766,503,906.25
  5. Step 5: Solve for x
    x = 5,766,503,906.25/49,053
  6. Step 6: Final answer
    x = 117,556.60

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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.