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Finding the Third Proportional to 113,897 and 175,305

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Solution

The third proportional to 113,897 and 175,305 is: 269,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,897 : 175,305 = 175,305 : x
  2. Step 2: Convert to fraction form
    113,897/175,305 = 175,305/x
  3. Step 3: Cross multiply
    113,897x = 175,305 × 175,305
  4. Step 4: Simplify right side
    113,897x = 30,731,843,025
  5. Step 5: Solve for x
    x = 30,731,843,025/113,897
  6. Step 6: Final answer
    x = 269,821.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.