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Finding the Third Proportional to 103,564 and 153,375

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Solution

The third proportional to 103,564 and 153,375 is: 227,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,564 : 153,375 = 153,375 : x
  2. Step 2: Convert to fraction form
    103,564/153,375 = 153,375/x
  3. Step 3: Cross multiply
    103,564x = 153,375 × 153,375
  4. Step 4: Simplify right side
    103,564x = 23,523,890,625
  5. Step 5: Solve for x
    x = 23,523,890,625/103,564
  6. Step 6: Final answer
    x = 227,143.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.