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Finding the Third Proportional to 72,101 and 154,165

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Solution

The third proportional to 72,101 and 154,165 is: 329,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,101 : 154,165 = 154,165 : x
  2. Step 2: Convert to fraction form
    72,101/154,165 = 154,165/x
  3. Step 3: Cross multiply
    72,101x = 154,165 × 154,165
  4. Step 4: Simplify right side
    72,101x = 23,766,847,225
  5. Step 5: Solve for x
    x = 23,766,847,225/72,101
  6. Step 6: Final answer
    x = 329,632.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.