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Finding the Third Proportional to 52,778.25 and 75,417.75

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Solution

The third proportional to 52,778.25 and 75,417.75 is: 107,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,778.25 : 75,417.75 = 75,417.75 : x
  2. Step 2: Convert to fraction form
    52,778.25/75,417.75 = 75,417.75/x
  3. Step 3: Cross multiply
    52,778.25x = 75,417.75 × 75,417.75
  4. Step 4: Simplify right side
    52,778.25x = 5,687,837,015.06
  5. Step 5: Solve for x
    x = 5,687,837,015.06/52,778.25
  6. Step 6: Final answer
    x = 107,768.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.