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Finding the Third Proportional to 73,176 and 152,094

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Solution

The third proportional to 73,176 and 152,094 is: 316,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176 : 152,094 = 152,094 : x
  2. Step 2: Convert to fraction form
    73,176/152,094 = 152,094/x
  3. Step 3: Cross multiply
    73,176x = 152,094 × 152,094
  4. Step 4: Simplify right side
    73,176x = 23,132,584,836
  5. Step 5: Solve for x
    x = 23,132,584,836/73,176
  6. Step 6: Final answer
    x = 316,122.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.