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Finding the Third Proportional to 63,132 and 140,277

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Solution

The third proportional to 63,132 and 140,277 is: 311,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,132 : 140,277 = 140,277 : x
  2. Step 2: Convert to fraction form
    63,132/140,277 = 140,277/x
  3. Step 3: Cross multiply
    63,132x = 140,277 × 140,277
  4. Step 4: Simplify right side
    63,132x = 19,677,636,729
  5. Step 5: Solve for x
    x = 19,677,636,729/63,132
  6. Step 6: Final answer
    x = 311,690.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.