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Finding the Third Proportional to 81,472 and 113,818

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Solution

The third proportional to 81,472 and 113,818 is: 159,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472 : 113,818 = 113,818 : x
  2. Step 2: Convert to fraction form
    81,472/113,818 = 113,818/x
  3. Step 3: Cross multiply
    81,472x = 113,818 × 113,818
  4. Step 4: Simplify right side
    81,472x = 12,954,537,124
  5. Step 5: Solve for x
    x = 12,954,537,124/81,472
  6. Step 6: Final answer
    x = 159,006.00

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.