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Finding the Third Proportional to 105,044 and 158,816

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Solution

The third proportional to 105,044 and 158,816 is: 240,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,044 : 158,816 = 158,816 : x
  2. Step 2: Convert to fraction form
    105,044/158,816 = 158,816/x
  3. Step 3: Cross multiply
    105,044x = 158,816 × 158,816
  4. Step 4: Simplify right side
    105,044x = 25,222,521,856
  5. Step 5: Solve for x
    x = 25,222,521,856/105,044
  6. Step 6: Final answer
    x = 240,113.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.