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Finding the Third Proportional to 71,257.50 and 151,259.63

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Solution

The third proportional to 71,257.50 and 151,259.63 is: 321,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,257.50 : 151,259.63 = 151,259.63 : x
  2. Step 2: Convert to fraction form
    71,257.50/151,259.63 = 151,259.63/x
  3. Step 3: Cross multiply
    71,257.50x = 151,259.63 × 151,259.63
  4. Step 4: Simplify right side
    71,257.50x = 22,879,474,155.14
  5. Step 5: Solve for x
    x = 22,879,474,155.14/71,257.50
  6. Step 6: Final answer
    x = 321,081.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.