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Finding the Third Proportional to 60,239.25 and 131,206.50

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Solution

The third proportional to 60,239.25 and 131,206.50 is: 285,779.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,239.25 : 131,206.50 = 131,206.50 : x
  2. Step 2: Convert to fraction form
    60,239.25/131,206.50 = 131,206.50/x
  3. Step 3: Cross multiply
    60,239.25x = 131,206.50 × 131,206.50
  4. Step 4: Simplify right side
    60,239.25x = 17,215,145,642.25
  5. Step 5: Solve for x
    x = 17,215,145,642.25/60,239.25
  6. Step 6: Final answer
    x = 285,779.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.