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Finding the Third Proportional to 56,539 and 84,815.50

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Solution

The third proportional to 56,539 and 84,815.50 is: 127,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,539 : 84,815.50 = 84,815.50 : x
  2. Step 2: Convert to fraction form
    56,539/84,815.50 = 84,815.50/x
  3. Step 3: Cross multiply
    56,539x = 84,815.50 × 84,815.50
  4. Step 4: Simplify right side
    56,539x = 7,193,669,040.25
  5. Step 5: Solve for x
    x = 7,193,669,040.25/56,539
  6. Step 6: Final answer
    x = 127,233.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.