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Finding the Third Proportional to 86,430 and 141,131

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Solution

The third proportional to 86,430 and 141,131 is: 230,451.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,430 : 141,131 = 141,131 : x
  2. Step 2: Convert to fraction form
    86,430/141,131 = 141,131/x
  3. Step 3: Cross multiply
    86,430x = 141,131 × 141,131
  4. Step 4: Simplify right side
    86,430x = 19,917,959,161
  5. Step 5: Solve for x
    x = 19,917,959,161/86,430
  6. Step 6: Final answer
    x = 230,451.92

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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.