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Finding the Third Proportional to 64,696 and 96,774

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Solution

The third proportional to 64,696 and 96,774 is: 144,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,696 : 96,774 = 96,774 : x
  2. Step 2: Convert to fraction form
    64,696/96,774 = 96,774/x
  3. Step 3: Cross multiply
    64,696x = 96,774 × 96,774
  4. Step 4: Simplify right side
    64,696x = 9,365,207,076
  5. Step 5: Solve for x
    x = 9,365,207,076/64,696
  6. Step 6: Final answer
    x = 144,757.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.