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Finding the Third Proportional to 105,338 and 159,348

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Solution

The third proportional to 105,338 and 159,348 is: 241,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,338 : 159,348 = 159,348 : x
  2. Step 2: Convert to fraction form
    105,338/159,348 = 159,348/x
  3. Step 3: Cross multiply
    105,338x = 159,348 × 159,348
  4. Step 4: Simplify right side
    105,338x = 25,391,785,104
  5. Step 5: Solve for x
    x = 25,391,785,104/105,338
  6. Step 6: Final answer
    x = 241,050.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.