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Finding the Third Proportional to 86,395 and 141,076

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Solution

The third proportional to 86,395 and 141,076 is: 230,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,395 : 141,076 = 141,076 : x
  2. Step 2: Convert to fraction form
    86,395/141,076 = 141,076/x
  3. Step 3: Cross multiply
    86,395x = 141,076 × 141,076
  4. Step 4: Simplify right side
    86,395x = 19,902,437,776
  5. Step 5: Solve for x
    x = 19,902,437,776/86,395
  6. Step 6: Final answer
    x = 230,365.62

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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.