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Finding the Third Proportional to 74,115 and 164,809.05

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Solution

The third proportional to 74,115 and 164,809.05 is: 366,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,115 : 164,809.05 = 164,809.05 : x
  2. Step 2: Convert to fraction form
    74,115/164,809.05 = 164,809.05/x
  3. Step 3: Cross multiply
    74,115x = 164,809.05 × 164,809.05
  4. Step 4: Simplify right side
    74,115x = 27,162,024,506.99
  5. Step 5: Solve for x
    x = 27,162,024,506.99/74,115
  6. Step 6: Final answer
    x = 366,484.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.