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Finding the Third Proportional to 63,228 and 97,578

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Solution

The third proportional to 63,228 and 97,578 is: 150,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,228 : 97,578 = 97,578 : x
  2. Step 2: Convert to fraction form
    63,228/97,578 = 97,578/x
  3. Step 3: Cross multiply
    63,228x = 97,578 × 97,578
  4. Step 4: Simplify right side
    63,228x = 9,521,466,084
  5. Step 5: Solve for x
    x = 9,521,466,084/63,228
  6. Step 6: Final answer
    x = 150,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.