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Finding the Third Proportional to 73,451 and 160,740

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Solution

The third proportional to 73,451 and 160,740 is: 351,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,451 : 160,740 = 160,740 : x
  2. Step 2: Convert to fraction form
    73,451/160,740 = 160,740/x
  3. Step 3: Cross multiply
    73,451x = 160,740 × 160,740
  4. Step 4: Simplify right side
    73,451x = 25,837,347,600
  5. Step 5: Solve for x
    x = 25,837,347,600/73,451
  6. Step 6: Final answer
    x = 351,763.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.