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Finding the Third Proportional to 64,588 and 98,249

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Solution

The third proportional to 64,588 and 98,249 is: 149,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,588 : 98,249 = 98,249 : x
  2. Step 2: Convert to fraction form
    64,588/98,249 = 98,249/x
  3. Step 3: Cross multiply
    64,588x = 98,249 × 98,249
  4. Step 4: Simplify right side
    64,588x = 9,652,866,001
  5. Step 5: Solve for x
    x = 9,652,866,001/64,588
  6. Step 6: Final answer
    x = 149,452.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.