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Finding the Third Proportional to 69,264.50 and 151,489

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Solution

The third proportional to 69,264.50 and 151,489 is: 331,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,264.50 : 151,489 = 151,489 : x
  2. Step 2: Convert to fraction form
    69,264.50/151,489 = 151,489/x
  3. Step 3: Cross multiply
    69,264.50x = 151,489 × 151,489
  4. Step 4: Simplify right side
    69,264.50x = 22,948,917,121
  5. Step 5: Solve for x
    x = 22,948,917,121/69,264.50
  6. Step 6: Final answer
    x = 331,322.93

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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.