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Finding the Third Proportional to 85,528.50 and 182,130

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Solution

The third proportional to 85,528.50 and 182,130 is: 387,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,528.50 : 182,130 = 182,130 : x
  2. Step 2: Convert to fraction form
    85,528.50/182,130 = 182,130/x
  3. Step 3: Cross multiply
    85,528.50x = 182,130 × 182,130
  4. Step 4: Simplify right side
    85,528.50x = 33,171,336,900
  5. Step 5: Solve for x
    x = 33,171,336,900/85,528.50
  6. Step 6: Final answer
    x = 387,839.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.