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Finding the Third Proportional to 111,088.13 and 158,744.81

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Solution

The third proportional to 111,088.13 and 158,744.81 is: 226,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,088.13 : 158,744.81 = 158,744.81 : x
  2. Step 2: Convert to fraction form
    111,088.13/158,744.81 = 158,744.81/x
  3. Step 3: Cross multiply
    111,088.13x = 158,744.81 × 158,744.81
  4. Step 4: Simplify right side
    111,088.13x = 25,199,915,495.66
  5. Step 5: Solve for x
    x = 25,199,915,495.66/111,088.13
  6. Step 6: Final answer
    x = 226,846.17

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Why These Related Problems?

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