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Finding the Third Proportional to 64,024 and 96,922

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Solution

The third proportional to 64,024 and 96,922 is: 146,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,024 : 96,922 = 96,922 : x
  2. Step 2: Convert to fraction form
    64,024/96,922 = 96,922/x
  3. Step 3: Cross multiply
    64,024x = 96,922 × 96,922
  4. Step 4: Simplify right side
    64,024x = 9,393,874,084
  5. Step 5: Solve for x
    x = 9,393,874,084/64,024
  6. Step 6: Final answer
    x = 146,724.26

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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.