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Finding the Third Proportional to 64,277 and 138,421

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Solution

The third proportional to 64,277 and 138,421 is: 298,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,277 : 138,421 = 138,421 : x
  2. Step 2: Convert to fraction form
    64,277/138,421 = 138,421/x
  3. Step 3: Cross multiply
    64,277x = 138,421 × 138,421
  4. Step 4: Simplify right side
    64,277x = 19,160,373,241
  5. Step 5: Solve for x
    x = 19,160,373,241/64,277
  6. Step 6: Final answer
    x = 298,090.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.