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Finding the Third Proportional to 64,073 and 140,215

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Solution

The third proportional to 64,073 and 140,215 is: 306,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,073 : 140,215 = 140,215 : x
  2. Step 2: Convert to fraction form
    64,073/140,215 = 140,215/x
  3. Step 3: Cross multiply
    64,073x = 140,215 × 140,215
  4. Step 4: Simplify right side
    64,073x = 19,660,246,225
  5. Step 5: Solve for x
    x = 19,660,246,225/64,073
  6. Step 6: Final answer
    x = 306,841.36

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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.