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Finding the Third Proportional to 73,074.66 and 160,373.25

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Solution

The third proportional to 73,074.66 and 160,373.25 is: 351,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,074.66 : 160,373.25 = 160,373.25 : x
  2. Step 2: Convert to fraction form
    73,074.66/160,373.25 = 160,373.25/x
  3. Step 3: Cross multiply
    73,074.66x = 160,373.25 × 160,373.25
  4. Step 4: Simplify right side
    73,074.66x = 25,719,579,315.56
  5. Step 5: Solve for x
    x = 25,719,579,315.56/73,074.66
  6. Step 6: Final answer
    x = 351,963.06

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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.