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Finding the Third Proportional to 75,701 and 159,242

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Solution

The third proportional to 75,701 and 159,242 is: 334,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,701 : 159,242 = 159,242 : x
  2. Step 2: Convert to fraction form
    75,701/159,242 = 159,242/x
  3. Step 3: Cross multiply
    75,701x = 159,242 × 159,242
  4. Step 4: Simplify right side
    75,701x = 25,358,014,564
  5. Step 5: Solve for x
    x = 25,358,014,564/75,701
  6. Step 6: Final answer
    x = 334,975.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.