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Finding the Third Proportional to 97,062 and 150,777

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Solution

The third proportional to 97,062 and 150,777 is: 234,218.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,062 : 150,777 = 150,777 : x
  2. Step 2: Convert to fraction form
    97,062/150,777 = 150,777/x
  3. Step 3: Cross multiply
    97,062x = 150,777 × 150,777
  4. Step 4: Simplify right side
    97,062x = 22,733,703,729
  5. Step 5: Solve for x
    x = 22,733,703,729/97,062
  6. Step 6: Final answer
    x = 234,218.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.