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Finding the Third Proportional to 63,920 and 96,774

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Solution

The third proportional to 63,920 and 96,774 is: 146,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,920 : 96,774 = 96,774 : x
  2. Step 2: Convert to fraction form
    63,920/96,774 = 96,774/x
  3. Step 3: Cross multiply
    63,920x = 96,774 × 96,774
  4. Step 4: Simplify right side
    63,920x = 9,365,207,076
  5. Step 5: Solve for x
    x = 9,365,207,076/63,920
  6. Step 6: Final answer
    x = 146,514.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.