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Finding the Third Proportional to 96,624 and 147,818.25

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Solution

The third proportional to 96,624 and 147,818.25 is: 226,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,624 : 147,818.25 = 147,818.25 : x
  2. Step 2: Convert to fraction form
    96,624/147,818.25 = 147,818.25/x
  3. Step 3: Cross multiply
    96,624x = 147,818.25 × 147,818.25
  4. Step 4: Simplify right side
    96,624x = 21,850,235,033.06
  5. Step 5: Solve for x
    x = 21,850,235,033.06/96,624
  6. Step 6: Final answer
    x = 226,136.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.