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Finding the Third Proportional to 70,968 and 155,221

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Solution

The third proportional to 70,968 and 155,221 is: 339,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,968 : 155,221 = 155,221 : x
  2. Step 2: Convert to fraction form
    70,968/155,221 = 155,221/x
  3. Step 3: Cross multiply
    70,968x = 155,221 × 155,221
  4. Step 4: Simplify right side
    70,968x = 24,093,558,841
  5. Step 5: Solve for x
    x = 24,093,558,841/70,968
  6. Step 6: Final answer
    x = 339,498.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.