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Finding the Third Proportional to 109,039.50 and 159,329.53

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Solution

The third proportional to 109,039.50 and 159,329.53 is: 232,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,039.50 : 159,329.53 = 159,329.53 : x
  2. Step 2: Convert to fraction form
    109,039.50/159,329.53 = 159,329.53/x
  3. Step 3: Cross multiply
    109,039.50x = 159,329.53 × 159,329.53
  4. Step 4: Simplify right side
    109,039.50x = 25,385,899,528.34
  5. Step 5: Solve for x
    x = 25,385,899,528.34/109,039.50
  6. Step 6: Final answer
    x = 232,813.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.