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Finding the Third Proportional to 97,592 and 151,404

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Solution

The third proportional to 97,592 and 151,404 is: 234,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,592 : 151,404 = 151,404 : x
  2. Step 2: Convert to fraction form
    97,592/151,404 = 151,404/x
  3. Step 3: Cross multiply
    97,592x = 151,404 × 151,404
  4. Step 4: Simplify right side
    97,592x = 22,923,171,216
  5. Step 5: Solve for x
    x = 22,923,171,216/97,592
  6. Step 6: Final answer
    x = 234,887.81

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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.