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Finding the Third Proportional to 85,550 and 176,520

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Solution

The third proportional to 85,550 and 176,520 is: 364,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550 : 176,520 = 176,520 : x
  2. Step 2: Convert to fraction form
    85,550/176,520 = 176,520/x
  3. Step 3: Cross multiply
    85,550x = 176,520 × 176,520
  4. Step 4: Simplify right side
    85,550x = 31,159,310,400
  5. Step 5: Solve for x
    x = 31,159,310,400/85,550
  6. Step 6: Final answer
    x = 364,223.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.