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Finding the Third Proportional to 112,299.75 and 164,269.13

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Solution

The third proportional to 112,299.75 and 164,269.13 is: 240,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,299.75 : 164,269.13 = 164,269.13 : x
  2. Step 2: Convert to fraction form
    112,299.75/164,269.13 = 164,269.13/x
  3. Step 3: Cross multiply
    112,299.75x = 164,269.13 × 164,269.13
  4. Step 4: Simplify right side
    112,299.75x = 26,984,345,428.27
  5. Step 5: Solve for x
    x = 26,984,345,428.27/112,299.75
  6. Step 6: Final answer
    x = 240,288.56

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Why These Related Problems?

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