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Finding the Third Proportional to 88,045 and 183,385

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Solution

The third proportional to 88,045 and 183,385 is: 381,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,045 : 183,385 = 183,385 : x
  2. Step 2: Convert to fraction form
    88,045/183,385 = 183,385/x
  3. Step 3: Cross multiply
    88,045x = 183,385 × 183,385
  4. Step 4: Simplify right side
    88,045x = 33,630,058,225
  5. Step 5: Solve for x
    x = 33,630,058,225/88,045
  6. Step 6: Final answer
    x = 381,964.43

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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.