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Finding the Third Proportional to 86,404 and 141,090

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Solution

The third proportional to 86,404 and 141,090 is: 230,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,404 : 141,090 = 141,090 : x
  2. Step 2: Convert to fraction form
    86,404/141,090 = 141,090/x
  3. Step 3: Cross multiply
    86,404x = 141,090 × 141,090
  4. Step 4: Simplify right side
    86,404x = 19,906,388,100
  5. Step 5: Solve for x
    x = 19,906,388,100/86,404
  6. Step 6: Final answer
    x = 230,387.34

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