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Finding the Third Proportional to 40,132.13 and 86,473.13

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Solution

The third proportional to 40,132.13 and 86,473.13 is: 186,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,132.13 : 86,473.13 = 86,473.13 : x
  2. Step 2: Convert to fraction form
    40,132.13/86,473.13 = 86,473.13/x
  3. Step 3: Cross multiply
    40,132.13x = 86,473.13 × 86,473.13
  4. Step 4: Simplify right side
    40,132.13x = 7,477,601,347.27
  5. Step 5: Solve for x
    x = 7,477,601,347.27/40,132.13
  6. Step 6: Final answer
    x = 186,324.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.