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Finding the Third Proportional to 89,276 and 185,944

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Solution

The third proportional to 89,276 and 185,944 is: 387,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,276 : 185,944 = 185,944 : x
  2. Step 2: Convert to fraction form
    89,276/185,944 = 185,944/x
  3. Step 3: Cross multiply
    89,276x = 185,944 × 185,944
  4. Step 4: Simplify right side
    89,276x = 34,575,171,136
  5. Step 5: Solve for x
    x = 34,575,171,136/89,276
  6. Step 6: Final answer
    x = 387,284.05

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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.