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Finding the Third Proportional to 86,394 and 141,074

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Solution

The third proportional to 86,394 and 141,074 is: 230,361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,394 : 141,074 = 141,074 : x
  2. Step 2: Convert to fraction form
    86,394/141,074 = 141,074/x
  3. Step 3: Cross multiply
    86,394x = 141,074 × 141,074
  4. Step 4: Simplify right side
    86,394x = 19,901,873,476
  5. Step 5: Solve for x
    x = 19,901,873,476/86,394
  6. Step 6: Final answer
    x = 230,361.76

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.