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Finding the Third Proportional to 75,036 and 158,514

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Solution

The third proportional to 75,036 and 158,514 is: 334,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,036 : 158,514 = 158,514 : x
  2. Step 2: Convert to fraction form
    75,036/158,514 = 158,514/x
  3. Step 3: Cross multiply
    75,036x = 158,514 × 158,514
  4. Step 4: Simplify right side
    75,036x = 25,126,688,196
  5. Step 5: Solve for x
    x = 25,126,688,196/75,036
  6. Step 6: Final answer
    x = 334,861.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.