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Finding the Third Proportional to 45,008 and 71,177

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Solution

The third proportional to 45,008 and 71,177 is: 112,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,008 : 71,177 = 71,177 : x
  2. Step 2: Convert to fraction form
    45,008/71,177 = 71,177/x
  3. Step 3: Cross multiply
    45,008x = 71,177 × 71,177
  4. Step 4: Simplify right side
    45,008x = 5,066,165,329
  5. Step 5: Solve for x
    x = 5,066,165,329/45,008
  6. Step 6: Final answer
    x = 112,561.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.