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Finding the Third Proportional to 72,966 and 157,092

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Solution

The third proportional to 72,966 and 157,092 is: 338,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,966 : 157,092 = 157,092 : x
  2. Step 2: Convert to fraction form
    72,966/157,092 = 157,092/x
  3. Step 3: Cross multiply
    72,966x = 157,092 × 157,092
  4. Step 4: Simplify right side
    72,966x = 24,677,896,464
  5. Step 5: Solve for x
    x = 24,677,896,464/72,966
  6. Step 6: Final answer
    x = 338,210.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.