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Finding the Third Proportional to 39,701 and 85,159

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Solution

The third proportional to 39,701 and 85,159 is: 182,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,701 : 85,159 = 85,159 : x
  2. Step 2: Convert to fraction form
    39,701/85,159 = 85,159/x
  3. Step 3: Cross multiply
    39,701x = 85,159 × 85,159
  4. Step 4: Simplify right side
    39,701x = 7,252,055,281
  5. Step 5: Solve for x
    x = 7,252,055,281/39,701
  6. Step 6: Final answer
    x = 182,666.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.