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Finding the Third Proportional to 49,873.85 and 78,962.66

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Solution

The third proportional to 49,873.85 and 78,962.66 is: 125,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,873.85 : 78,962.66 = 78,962.66 : x
  2. Step 2: Convert to fraction form
    49,873.85/78,962.66 = 78,962.66/x
  3. Step 3: Cross multiply
    49,873.85x = 78,962.66 × 78,962.66
  4. Step 4: Simplify right side
    49,873.85x = 6,235,101,698.95
  5. Step 5: Solve for x
    x = 6,235,101,698.95/49,873.85
  6. Step 6: Final answer
    x = 125,017.45

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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.