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Finding the Third Proportional to 34,273 and 75,107

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Solution

The third proportional to 34,273 and 75,107 is: 164,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,273 : 75,107 = 75,107 : x
  2. Step 2: Convert to fraction form
    34,273/75,107 = 75,107/x
  3. Step 3: Cross multiply
    34,273x = 75,107 × 75,107
  4. Step 4: Simplify right side
    34,273x = 5,641,061,449
  5. Step 5: Solve for x
    x = 5,641,061,449/34,273
  6. Step 6: Final answer
    x = 164,592.00

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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.