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Finding the Third Proportional to 64,225 and 98,839

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Solution

The third proportional to 64,225 and 98,839 is: 152,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,225 : 98,839 = 98,839 : x
  2. Step 2: Convert to fraction form
    64,225/98,839 = 98,839/x
  3. Step 3: Cross multiply
    64,225x = 98,839 × 98,839
  4. Step 4: Simplify right side
    64,225x = 9,769,147,921
  5. Step 5: Solve for x
    x = 9,769,147,921/64,225
  6. Step 6: Final answer
    x = 152,108.18

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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.