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Finding the Third Proportional to 97,992 and 151,407

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Solution

The third proportional to 97,992 and 151,407 is: 233,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,992 : 151,407 = 151,407 : x
  2. Step 2: Convert to fraction form
    97,992/151,407 = 151,407/x
  3. Step 3: Cross multiply
    97,992x = 151,407 × 151,407
  4. Step 4: Simplify right side
    97,992x = 22,924,079,649
  5. Step 5: Solve for x
    x = 22,924,079,649/97,992
  6. Step 6: Final answer
    x = 233,938.28

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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.