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Finding the Third Proportional to 52,019 and 78,493.75

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Solution

The third proportional to 52,019 and 78,493.75 is: 118,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,019 : 78,493.75 = 78,493.75 : x
  2. Step 2: Convert to fraction form
    52,019/78,493.75 = 78,493.75/x
  3. Step 3: Cross multiply
    52,019x = 78,493.75 × 78,493.75
  4. Step 4: Simplify right side
    52,019x = 6,161,268,789.06
  5. Step 5: Solve for x
    x = 6,161,268,789.06/52,019
  6. Step 6: Final answer
    x = 118,442.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.