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Finding the Third Proportional to 104,060 and 193,348

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Solution

The third proportional to 104,060 and 193,348 is: 359,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,060 : 193,348 = 193,348 : x
  2. Step 2: Convert to fraction form
    104,060/193,348 = 193,348/x
  3. Step 3: Cross multiply
    104,060x = 193,348 × 193,348
  4. Step 4: Simplify right side
    104,060x = 37,383,449,104
  5. Step 5: Solve for x
    x = 37,383,449,104/104,060
  6. Step 6: Final answer
    x = 359,248.98

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.