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Finding the Third Proportional to 64,282 and 138,442

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Solution

The third proportional to 64,282 and 138,442 is: 298,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,282 : 138,442 = 138,442 : x
  2. Step 2: Convert to fraction form
    64,282/138,442 = 138,442/x
  3. Step 3: Cross multiply
    64,282x = 138,442 × 138,442
  4. Step 4: Simplify right side
    64,282x = 19,166,187,364
  5. Step 5: Solve for x
    x = 19,166,187,364/64,282
  6. Step 6: Final answer
    x = 298,157.92

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