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Finding the Third Proportional to 74,375 and 113,307

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Solution

The third proportional to 74,375 and 113,307 is: 172,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,375 : 113,307 = 113,307 : x
  2. Step 2: Convert to fraction form
    74,375/113,307 = 113,307/x
  3. Step 3: Cross multiply
    74,375x = 113,307 × 113,307
  4. Step 4: Simplify right side
    74,375x = 12,838,476,249
  5. Step 5: Solve for x
    x = 12,838,476,249/74,375
  6. Step 6: Final answer
    x = 172,618.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.