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Finding the Third Proportional to 71,948 and 107,184

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Solution

The third proportional to 71,948 and 107,184 is: 159,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,948 : 107,184 = 107,184 : x
  2. Step 2: Convert to fraction form
    71,948/107,184 = 107,184/x
  3. Step 3: Cross multiply
    71,948x = 107,184 × 107,184
  4. Step 4: Simplify right side
    71,948x = 11,488,409,856
  5. Step 5: Solve for x
    x = 11,488,409,856/71,948
  6. Step 6: Final answer
    x = 159,676.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.