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Finding the Third Proportional to 73,896 and 158,294

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Solution

The third proportional to 73,896 and 158,294 is: 339,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896 : 158,294 = 158,294 : x
  2. Step 2: Convert to fraction form
    73,896/158,294 = 158,294/x
  3. Step 3: Cross multiply
    73,896x = 158,294 × 158,294
  4. Step 4: Simplify right side
    73,896x = 25,056,990,436
  5. Step 5: Solve for x
    x = 25,056,990,436/73,896
  6. Step 6: Final answer
    x = 339,084.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.