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Finding the Third Proportional to 88,644 and 184,767

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Solution

The third proportional to 88,644 and 184,767 is: 385,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,644 : 184,767 = 184,767 : x
  2. Step 2: Convert to fraction form
    88,644/184,767 = 184,767/x
  3. Step 3: Cross multiply
    88,644x = 184,767 × 184,767
  4. Step 4: Simplify right side
    88,644x = 34,138,844,289
  5. Step 5: Solve for x
    x = 34,138,844,289/88,644
  6. Step 6: Final answer
    x = 385,123.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.