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Finding the Third Proportional to 84,727 and 184,209

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Solution

The third proportional to 84,727 and 184,209 is: 400,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,727 : 184,209 = 184,209 : x
  2. Step 2: Convert to fraction form
    84,727/184,209 = 184,209/x
  3. Step 3: Cross multiply
    84,727x = 184,209 × 184,209
  4. Step 4: Simplify right side
    84,727x = 33,932,955,681
  5. Step 5: Solve for x
    x = 33,932,955,681/84,727
  6. Step 6: Final answer
    x = 400,497.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.