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Finding the Third Proportional to 86,424 and 141,122

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Solution

The third proportional to 86,424 and 141,122 is: 230,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,424 : 141,122 = 141,122 : x
  2. Step 2: Convert to fraction form
    86,424/141,122 = 141,122/x
  3. Step 3: Cross multiply
    86,424x = 141,122 × 141,122
  4. Step 4: Simplify right side
    86,424x = 19,915,418,884
  5. Step 5: Solve for x
    x = 19,915,418,884/86,424
  6. Step 6: Final answer
    x = 230,438.52

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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.