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Finding the Third Proportional to 86,184 and 133,080

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Solution

The third proportional to 86,184 and 133,080 is: 205,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,184 : 133,080 = 133,080 : x
  2. Step 2: Convert to fraction form
    86,184/133,080 = 133,080/x
  3. Step 3: Cross multiply
    86,184x = 133,080 × 133,080
  4. Step 4: Simplify right side
    86,184x = 17,710,286,400
  5. Step 5: Solve for x
    x = 17,710,286,400/86,184
  6. Step 6: Final answer
    x = 205,493.90

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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.