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Finding the Third Proportional to 67,113 and 141,132

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Solution

The third proportional to 67,113 and 141,132 is: 296,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,113 : 141,132 = 141,132 : x
  2. Step 2: Convert to fraction form
    67,113/141,132 = 141,132/x
  3. Step 3: Cross multiply
    67,113x = 141,132 × 141,132
  4. Step 4: Simplify right side
    67,113x = 19,918,241,424
  5. Step 5: Solve for x
    x = 19,918,241,424/67,113
  6. Step 6: Final answer
    x = 296,786.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.