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Finding the Third Proportional to 69,502 and 151,750

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Solution

The third proportional to 69,502 and 151,750 is: 331,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,502 : 151,750 = 151,750 : x
  2. Step 2: Convert to fraction form
    69,502/151,750 = 151,750/x
  3. Step 3: Cross multiply
    69,502x = 151,750 × 151,750
  4. Step 4: Simplify right side
    69,502x = 23,028,062,500
  5. Step 5: Solve for x
    x = 23,028,062,500/69,502
  6. Step 6: Final answer
    x = 331,329.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.