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Finding the Third Proportional to 49,783 and 78,867.25

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Solution

The third proportional to 49,783 and 78,867.25 is: 124,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,783 : 78,867.25 = 78,867.25 : x
  2. Step 2: Convert to fraction form
    49,783/78,867.25 = 78,867.25/x
  3. Step 3: Cross multiply
    49,783x = 78,867.25 × 78,867.25
  4. Step 4: Simplify right side
    49,783x = 6,220,043,122.56
  5. Step 5: Solve for x
    x = 6,220,043,122.56/49,783
  6. Step 6: Final answer
    x = 124,943.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.