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Finding the Third Proportional to 72,902 and 157,185

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Solution

The third proportional to 72,902 and 157,185 is: 338,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902 : 157,185 = 157,185 : x
  2. Step 2: Convert to fraction form
    72,902/157,185 = 157,185/x
  3. Step 3: Cross multiply
    72,902x = 157,185 × 157,185
  4. Step 4: Simplify right side
    72,902x = 24,707,124,225
  5. Step 5: Solve for x
    x = 24,707,124,225/72,902
  6. Step 6: Final answer
    x = 338,908.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.