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Finding the Third Proportional to 97,755 and 151,125

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Solution

The third proportional to 97,755 and 151,125 is: 233,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,755 : 151,125 = 151,125 : x
  2. Step 2: Convert to fraction form
    97,755/151,125 = 151,125/x
  3. Step 3: Cross multiply
    97,755x = 151,125 × 151,125
  4. Step 4: Simplify right side
    97,755x = 22,838,765,625
  5. Step 5: Solve for x
    x = 22,838,765,625/97,755
  6. Step 6: Final answer
    x = 233,632.71

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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.