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Finding the Third Proportional to 71,452 and 105,111

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Solution

The third proportional to 71,452 and 105,111 is: 154,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,452 : 105,111 = 105,111 : x
  2. Step 2: Convert to fraction form
    71,452/105,111 = 105,111/x
  3. Step 3: Cross multiply
    71,452x = 105,111 × 105,111
  4. Step 4: Simplify right side
    71,452x = 11,048,322,321
  5. Step 5: Solve for x
    x = 11,048,322,321/71,452
  6. Step 6: Final answer
    x = 154,625.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.