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Finding the Third Proportional to 97,092 and 149,958

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Solution

The third proportional to 97,092 and 149,958 is: 231,609.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092 : 149,958 = 149,958 : x
  2. Step 2: Convert to fraction form
    97,092/149,958 = 149,958/x
  3. Step 3: Cross multiply
    97,092x = 149,958 × 149,958
  4. Step 4: Simplify right side
    97,092x = 22,487,401,764
  5. Step 5: Solve for x
    x = 22,487,401,764/97,092
  6. Step 6: Final answer
    x = 231,609.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.