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Finding the Third Proportional to 73,905.75 and 162,117.84

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Solution

The third proportional to 73,905.75 and 162,117.84 is: 355,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,905.75 : 162,117.84 = 162,117.84 : x
  2. Step 2: Convert to fraction form
    73,905.75/162,117.84 = 162,117.84/x
  3. Step 3: Cross multiply
    73,905.75x = 162,117.84 × 162,117.84
  4. Step 4: Simplify right side
    73,905.75x = 26,282,195,262.15
  5. Step 5: Solve for x
    x = 26,282,195,262.15/73,905.75
  6. Step 6: Final answer
    x = 355,617.73

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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.