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Finding the Third Proportional to 86,364 and 183,024

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Solution

The third proportional to 86,364 and 183,024 is: 387,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,364 : 183,024 = 183,024 : x
  2. Step 2: Convert to fraction form
    86,364/183,024 = 183,024/x
  3. Step 3: Cross multiply
    86,364x = 183,024 × 183,024
  4. Step 4: Simplify right side
    86,364x = 33,497,784,576
  5. Step 5: Solve for x
    x = 33,497,784,576/86,364
  6. Step 6: Final answer
    x = 387,867.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.