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Finding the Third Proportional to 42,119 and 93,579

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Solution

The third proportional to 42,119 and 93,579 is: 207,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,119 : 93,579 = 93,579 : x
  2. Step 2: Convert to fraction form
    42,119/93,579 = 93,579/x
  3. Step 3: Cross multiply
    42,119x = 93,579 × 93,579
  4. Step 4: Simplify right side
    42,119x = 8,757,029,241
  5. Step 5: Solve for x
    x = 8,757,029,241/42,119
  6. Step 6: Final answer
    x = 207,911.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.