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Finding the Third Proportional to 86,184 and 133,119

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Solution

The third proportional to 86,184 and 133,119 is: 205,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,184 : 133,119 = 133,119 : x
  2. Step 2: Convert to fraction form
    86,184/133,119 = 133,119/x
  3. Step 3: Cross multiply
    86,184x = 133,119 × 133,119
  4. Step 4: Simplify right side
    86,184x = 17,720,668,161
  5. Step 5: Solve for x
    x = 17,720,668,161/86,184
  6. Step 6: Final answer
    x = 205,614.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.