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Finding the Third Proportional to 72,146 and 154,660

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Solution

The third proportional to 72,146 and 154,660 is: 331,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,146 : 154,660 = 154,660 : x
  2. Step 2: Convert to fraction form
    72,146/154,660 = 154,660/x
  3. Step 3: Cross multiply
    72,146x = 154,660 × 154,660
  4. Step 4: Simplify right side
    72,146x = 23,919,715,600
  5. Step 5: Solve for x
    x = 23,919,715,600/72,146
  6. Step 6: Final answer
    x = 331,545.97

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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.