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Finding the Third Proportional to 49,067 and 77,822.50

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Solution

The third proportional to 49,067 and 77,822.50 is: 123,430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,067 : 77,822.50 = 77,822.50 : x
  2. Step 2: Convert to fraction form
    49,067/77,822.50 = 77,822.50/x
  3. Step 3: Cross multiply
    49,067x = 77,822.50 × 77,822.50
  4. Step 4: Simplify right side
    49,067x = 6,056,341,506.25
  5. Step 5: Solve for x
    x = 6,056,341,506.25/49,067
  6. Step 6: Final answer
    x = 123,430.03

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.