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Finding the Third Proportional to 72,994 and 157,241

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Solution

The third proportional to 72,994 and 157,241 is: 338,722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,994 : 157,241 = 157,241 : x
  2. Step 2: Convert to fraction form
    72,994/157,241 = 157,241/x
  3. Step 3: Cross multiply
    72,994x = 157,241 × 157,241
  4. Step 4: Simplify right side
    72,994x = 24,724,732,081
  5. Step 5: Solve for x
    x = 24,724,732,081/72,994
  6. Step 6: Final answer
    x = 338,722.80

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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.