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Finding the Third Proportional to 73,419 and 160,158

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Solution

The third proportional to 73,419 and 160,158 is: 349,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,419 : 160,158 = 160,158 : x
  2. Step 2: Convert to fraction form
    73,419/160,158 = 160,158/x
  3. Step 3: Cross multiply
    73,419x = 160,158 × 160,158
  4. Step 4: Simplify right side
    73,419x = 25,650,584,964
  5. Step 5: Solve for x
    x = 25,650,584,964/73,419
  6. Step 6: Final answer
    x = 349,372.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.