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Finding the Third Proportional to 49,214.25 and 75,998.25

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Solution

The third proportional to 49,214.25 and 75,998.25 is: 117,358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,214.25 : 75,998.25 = 75,998.25 : x
  2. Step 2: Convert to fraction form
    49,214.25/75,998.25 = 75,998.25/x
  3. Step 3: Cross multiply
    49,214.25x = 75,998.25 × 75,998.25
  4. Step 4: Simplify right side
    49,214.25x = 5,775,734,003.06
  5. Step 5: Solve for x
    x = 5,775,734,003.06/49,214.25
  6. Step 6: Final answer
    x = 117,358.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.