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Finding the Third Proportional to 75,006 and 158,442

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Solution

The third proportional to 75,006 and 158,442 is: 334,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,006 : 158,442 = 158,442 : x
  2. Step 2: Convert to fraction form
    75,006/158,442 = 158,442/x
  3. Step 3: Cross multiply
    75,006x = 158,442 × 158,442
  4. Step 4: Simplify right side
    75,006x = 25,103,867,364
  5. Step 5: Solve for x
    x = 25,103,867,364/75,006
  6. Step 6: Final answer
    x = 334,691.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.