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Finding the Third Proportional to 64,694 and 98,207

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Solution

The third proportional to 64,694 and 98,207 is: 149,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,694 : 98,207 = 98,207 : x
  2. Step 2: Convert to fraction form
    64,694/98,207 = 98,207/x
  3. Step 3: Cross multiply
    64,694x = 98,207 × 98,207
  4. Step 4: Simplify right side
    64,694x = 9,644,614,849
  5. Step 5: Solve for x
    x = 9,644,614,849/64,694
  6. Step 6: Final answer
    x = 149,080.52

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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.