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Finding the Third Proportional to 97,122 and 149,997

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Solution

The third proportional to 97,122 and 149,997 is: 231,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,122 : 149,997 = 149,997 : x
  2. Step 2: Convert to fraction form
    97,122/149,997 = 149,997/x
  3. Step 3: Cross multiply
    97,122x = 149,997 × 149,997
  4. Step 4: Simplify right side
    97,122x = 22,499,100,009
  5. Step 5: Solve for x
    x = 22,499,100,009/97,122
  6. Step 6: Final answer
    x = 231,658.12

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