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Finding the Third Proportional to 75,279.38 and 162,313.88

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Solution

The third proportional to 75,279.38 and 162,313.88 is: 349,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,279.38 : 162,313.88 = 162,313.88 : x
  2. Step 2: Convert to fraction form
    75,279.38/162,313.88 = 162,313.88/x
  3. Step 3: Cross multiply
    75,279.38x = 162,313.88 × 162,313.88
  4. Step 4: Simplify right side
    75,279.38x = 26,345,794,017.52
  5. Step 5: Solve for x
    x = 26,345,794,017.52/75,279.38
  6. Step 6: Final answer
    x = 349,973.60

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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.