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Finding the Third Proportional to 86,590.13 and 138,324.38

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Solution

The third proportional to 86,590.13 and 138,324.38 is: 220,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,590.13 : 138,324.38 = 138,324.38 : x
  2. Step 2: Convert to fraction form
    86,590.13/138,324.38 = 138,324.38/x
  3. Step 3: Cross multiply
    86,590.13x = 138,324.38 × 138,324.38
  4. Step 4: Simplify right side
    86,590.13x = 19,133,632,719.14
  5. Step 5: Solve for x
    x = 19,133,632,719.14/86,590.13
  6. Step 6: Final answer
    x = 220,967.84

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.