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Finding the Third Proportional to 69,201 and 151,497

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Solution

The third proportional to 69,201 and 151,497 is: 331,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,201 : 151,497 = 151,497 : x
  2. Step 2: Convert to fraction form
    69,201/151,497 = 151,497/x
  3. Step 3: Cross multiply
    69,201x = 151,497 × 151,497
  4. Step 4: Simplify right side
    69,201x = 22,951,341,009
  5. Step 5: Solve for x
    x = 22,951,341,009/69,201
  6. Step 6: Final answer
    x = 331,661.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.