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Finding the Third Proportional to 101,564 and 154,611

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Solution

The third proportional to 101,564 and 154,611 is: 235,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564 : 154,611 = 154,611 : x
  2. Step 2: Convert to fraction form
    101,564/154,611 = 154,611/x
  3. Step 3: Cross multiply
    101,564x = 154,611 × 154,611
  4. Step 4: Simplify right side
    101,564x = 23,904,561,321
  5. Step 5: Solve for x
    x = 23,904,561,321/101,564
  6. Step 6: Final answer
    x = 235,364.51

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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.