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Finding the Third Proportional to 74,090 and 107,103

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Solution

The third proportional to 74,090 and 107,103 is: 154,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,090 : 107,103 = 107,103 : x
  2. Step 2: Convert to fraction form
    74,090/107,103 = 107,103/x
  3. Step 3: Cross multiply
    74,090x = 107,103 × 107,103
  4. Step 4: Simplify right side
    74,090x = 11,471,052,609
  5. Step 5: Solve for x
    x = 11,471,052,609/74,090
  6. Step 6: Final answer
    x = 154,825.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.