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Finding the Third Proportional to 105,808 and 141,054

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Solution

The third proportional to 105,808 and 141,054 is: 188,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,808 : 141,054 = 141,054 : x
  2. Step 2: Convert to fraction form
    105,808/141,054 = 141,054/x
  3. Step 3: Cross multiply
    105,808x = 141,054 × 141,054
  4. Step 4: Simplify right side
    105,808x = 19,896,230,916
  5. Step 5: Solve for x
    x = 19,896,230,916/105,808
  6. Step 6: Final answer
    x = 188,040.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.