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Finding the Third Proportional to 73,786 and 162,548

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Solution

The third proportional to 73,786 and 162,548 is: 358,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,786 : 162,548 = 162,548 : x
  2. Step 2: Convert to fraction form
    73,786/162,548 = 162,548/x
  3. Step 3: Cross multiply
    73,786x = 162,548 × 162,548
  4. Step 4: Simplify right side
    73,786x = 26,421,852,304
  5. Step 5: Solve for x
    x = 26,421,852,304/73,786
  6. Step 6: Final answer
    x = 358,087.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.