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Finding the Third Proportional to 83,318.63 and 119,061.56

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Solution

The third proportional to 83,318.63 and 119,061.56 is: 170,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.63 : 119,061.56 = 119,061.56 : x
  2. Step 2: Convert to fraction form
    83,318.63/119,061.56 = 119,061.56/x
  3. Step 3: Cross multiply
    83,318.63x = 119,061.56 × 119,061.56
  4. Step 4: Simplify right side
    83,318.63x = 14,175,655,664.94
  5. Step 5: Solve for x
    x = 14,175,655,664.94/83,318.63
  6. Step 6: Final answer
    x = 170,137.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.