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Finding the Third Proportional to 112,384.13 and 158,088.38

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Solution

The third proportional to 112,384.13 and 158,088.38 is: 222,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,384.13 : 158,088.38 = 158,088.38 : x
  2. Step 2: Convert to fraction form
    112,384.13/158,088.38 = 158,088.38/x
  3. Step 3: Cross multiply
    112,384.13x = 158,088.38 × 158,088.38
  4. Step 4: Simplify right side
    112,384.13x = 24,991,934,310.14
  5. Step 5: Solve for x
    x = 24,991,934,310.14/112,384.13
  6. Step 6: Final answer
    x = 222,379.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.