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Finding the Third Proportional to 75,174 and 160,716

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Solution

The third proportional to 75,174 and 160,716 is: 343,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174 : 160,716 = 160,716 : x
  2. Step 2: Convert to fraction form
    75,174/160,716 = 160,716/x
  3. Step 3: Cross multiply
    75,174x = 160,716 × 160,716
  4. Step 4: Simplify right side
    75,174x = 25,829,632,656
  5. Step 5: Solve for x
    x = 25,829,632,656/75,174
  6. Step 6: Final answer
    x = 343,597.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.