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Finding the Third Proportional to 49,203 and 69,041.50

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Solution

The third proportional to 49,203 and 69,041.50 is: 96,878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203 : 69,041.50 = 69,041.50 : x
  2. Step 2: Convert to fraction form
    49,203/69,041.50 = 69,041.50/x
  3. Step 3: Cross multiply
    49,203x = 69,041.50 × 69,041.50
  4. Step 4: Simplify right side
    49,203x = 4,766,728,722.25
  5. Step 5: Solve for x
    x = 4,766,728,722.25/49,203
  6. Step 6: Final answer
    x = 96,878.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.