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Finding the Third Proportional to 64,098 and 140,259

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Solution

The third proportional to 64,098 and 140,259 is: 306,914.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098 : 140,259 = 140,259 : x
  2. Step 2: Convert to fraction form
    64,098/140,259 = 140,259/x
  3. Step 3: Cross multiply
    64,098x = 140,259 × 140,259
  4. Step 4: Simplify right side
    64,098x = 19,672,587,081
  5. Step 5: Solve for x
    x = 19,672,587,081/64,098
  6. Step 6: Final answer
    x = 306,914.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.