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Finding the Third Proportional to 71,102.50 and 153,608

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Solution

The third proportional to 71,102.50 and 153,608 is: 331,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102.50 : 153,608 = 153,608 : x
  2. Step 2: Convert to fraction form
    71,102.50/153,608 = 153,608/x
  3. Step 3: Cross multiply
    71,102.50x = 153,608 × 153,608
  4. Step 4: Simplify right side
    71,102.50x = 23,595,417,664
  5. Step 5: Solve for x
    x = 23,595,417,664/71,102.50
  6. Step 6: Final answer
    x = 331,850.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.