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Finding the Third Proportional to 95,514 and 224,673

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Solution

The third proportional to 95,514 and 224,673 is: 528,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,514 : 224,673 = 224,673 : x
  2. Step 2: Convert to fraction form
    95,514/224,673 = 224,673/x
  3. Step 3: Cross multiply
    95,514x = 224,673 × 224,673
  4. Step 4: Simplify right side
    95,514x = 50,477,956,929
  5. Step 5: Solve for x
    x = 50,477,956,929/95,514
  6. Step 6: Final answer
    x = 528,487.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.