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Finding the Third Proportional to 64,399 and 98,521

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Solution

The third proportional to 64,399 and 98,521 is: 150,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,399 : 98,521 = 98,521 : x
  2. Step 2: Convert to fraction form
    64,399/98,521 = 98,521/x
  3. Step 3: Cross multiply
    64,399x = 98,521 × 98,521
  4. Step 4: Simplify right side
    64,399x = 9,706,387,441
  5. Step 5: Solve for x
    x = 9,706,387,441/64,399
  6. Step 6: Final answer
    x = 150,722.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.