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Finding the Third Proportional to 74,704.88 and 161,854.50

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Solution

The third proportional to 74,704.88 and 161,854.50 is: 350,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,704.88 : 161,854.50 = 161,854.50 : x
  2. Step 2: Convert to fraction form
    74,704.88/161,854.50 = 161,854.50/x
  3. Step 3: Cross multiply
    74,704.88x = 161,854.50 × 161,854.50
  4. Step 4: Simplify right side
    74,704.88x = 26,196,879,170.25
  5. Step 5: Solve for x
    x = 26,196,879,170.25/74,704.88
  6. Step 6: Final answer
    x = 350,671.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.