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Finding the Third Proportional to 67,111 and 144,731

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Solution

The third proportional to 67,111 and 144,731 is: 312,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,111 : 144,731 = 144,731 : x
  2. Step 2: Convert to fraction form
    67,111/144,731 = 144,731/x
  3. Step 3: Cross multiply
    67,111x = 144,731 × 144,731
  4. Step 4: Simplify right side
    67,111x = 20,947,062,361
  5. Step 5: Solve for x
    x = 20,947,062,361/67,111
  6. Step 6: Final answer
    x = 312,125.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.