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Finding the Third Proportional to 75,181.50 and 162,115.88

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Solution

The third proportional to 75,181.50 and 162,115.88 is: 349,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,181.50 : 162,115.88 = 162,115.88 : x
  2. Step 2: Convert to fraction form
    75,181.50/162,115.88 = 162,115.88/x
  3. Step 3: Cross multiply
    75,181.50x = 162,115.88 × 162,115.88
  4. Step 4: Simplify right side
    75,181.50x = 26,281,556,927.02
  5. Step 5: Solve for x
    x = 26,281,556,927.02/75,181.50
  6. Step 6: Final answer
    x = 349,574.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.