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Finding the Third Proportional to 67,264 and 98,944

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Solution

The third proportional to 67,264 and 98,944 is: 145,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,264 : 98,944 = 98,944 : x
  2. Step 2: Convert to fraction form
    67,264/98,944 = 98,944/x
  3. Step 3: Cross multiply
    67,264x = 98,944 × 98,944
  4. Step 4: Simplify right side
    67,264x = 9,789,915,136
  5. Step 5: Solve for x
    x = 9,789,915,136/67,264
  6. Step 6: Final answer
    x = 145,544.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.