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Finding the Third Proportional to 41,115 and 85,143

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Solution

The third proportional to 41,115 and 85,143 is: 176,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,115 : 85,143 = 85,143 : x
  2. Step 2: Convert to fraction form
    41,115/85,143 = 85,143/x
  3. Step 3: Cross multiply
    41,115x = 85,143 × 85,143
  4. Step 4: Simplify right side
    41,115x = 7,249,330,449
  5. Step 5: Solve for x
    x = 7,249,330,449/41,115
  6. Step 6: Final answer
    x = 176,318.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.