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Finding the Third Proportional to 105,562 and 141,003

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Solution

The third proportional to 105,562 and 141,003 is: 188,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,562 : 141,003 = 141,003 : x
  2. Step 2: Convert to fraction form
    105,562/141,003 = 141,003/x
  3. Step 3: Cross multiply
    105,562x = 141,003 × 141,003
  4. Step 4: Simplify right side
    105,562x = 19,881,846,009
  5. Step 5: Solve for x
    x = 19,881,846,009/105,562
  6. Step 6: Final answer
    x = 188,342.83

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.