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Finding the Third Proportional to 49,519 and 96,557.50

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Solution

The third proportional to 49,519 and 96,557.50 is: 188,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,519 : 96,557.50 = 96,557.50 : x
  2. Step 2: Convert to fraction form
    49,519/96,557.50 = 96,557.50/x
  3. Step 3: Cross multiply
    49,519x = 96,557.50 × 96,557.50
  4. Step 4: Simplify right side
    49,519x = 9,323,350,806.25
  5. Step 5: Solve for x
    x = 9,323,350,806.25/49,519
  6. Step 6: Final answer
    x = 188,278.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.