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Finding the Third Proportional to 100,774 and 153,573

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Solution

The third proportional to 100,774 and 153,573 is: 234,035.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,774 : 153,573 = 153,573 : x
  2. Step 2: Convert to fraction form
    100,774/153,573 = 153,573/x
  3. Step 3: Cross multiply
    100,774x = 153,573 × 153,573
  4. Step 4: Simplify right side
    100,774x = 23,584,666,329
  5. Step 5: Solve for x
    x = 23,584,666,329/100,774
  6. Step 6: Final answer
    x = 234,035.23

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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.