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Finding the Third Proportional to 64,791 and 137,286

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Solution

The third proportional to 64,791 and 137,286 is: 290,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,791 : 137,286 = 137,286 : x
  2. Step 2: Convert to fraction form
    64,791/137,286 = 137,286/x
  3. Step 3: Cross multiply
    64,791x = 137,286 × 137,286
  4. Step 4: Simplify right side
    64,791x = 18,847,445,796
  5. Step 5: Solve for x
    x = 18,847,445,796/64,791
  6. Step 6: Final answer
    x = 290,896.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.