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Finding the Third Proportional to 88,164 and 184,944

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Solution

The third proportional to 88,164 and 184,944 is: 387,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,164 : 184,944 = 184,944 : x
  2. Step 2: Convert to fraction form
    88,164/184,944 = 184,944/x
  3. Step 3: Cross multiply
    88,164x = 184,944 × 184,944
  4. Step 4: Simplify right side
    88,164x = 34,204,283,136
  5. Step 5: Solve for x
    x = 34,204,283,136/88,164
  6. Step 6: Final answer
    x = 387,962.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.