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Finding the Third Proportional to 71,514 and 107,133

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Solution

The third proportional to 71,514 and 107,133 is: 160,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,514 : 107,133 = 107,133 : x
  2. Step 2: Convert to fraction form
    71,514/107,133 = 107,133/x
  3. Step 3: Cross multiply
    71,514x = 107,133 × 107,133
  4. Step 4: Simplify right side
    71,514x = 11,477,479,689
  5. Step 5: Solve for x
    x = 11,477,479,689/71,514
  6. Step 6: Final answer
    x = 160,492.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.