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Finding the Third Proportional to 74,091 and 107,104.50

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Solution

The third proportional to 74,091 and 107,104.50 is: 154,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,091 : 107,104.50 = 107,104.50 : x
  2. Step 2: Convert to fraction form
    74,091/107,104.50 = 107,104.50/x
  3. Step 3: Cross multiply
    74,091x = 107,104.50 × 107,104.50
  4. Step 4: Simplify right side
    74,091x = 11,471,373,920.25
  5. Step 5: Solve for x
    x = 11,471,373,920.25/74,091
  6. Step 6: Final answer
    x = 154,828.17

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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.