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Finding the Third Proportional to 64,228 and 98,799

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Solution

The third proportional to 64,228 and 98,799 is: 151,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,228 : 98,799 = 98,799 : x
  2. Step 2: Convert to fraction form
    64,228/98,799 = 98,799/x
  3. Step 3: Cross multiply
    64,228x = 98,799 × 98,799
  4. Step 4: Simplify right side
    64,228x = 9,761,242,401
  5. Step 5: Solve for x
    x = 9,761,242,401/64,228
  6. Step 6: Final answer
    x = 151,977.99

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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.