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Finding the Third Proportional to 100,060.31 and 152,153.44

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Solution

The third proportional to 100,060.31 and 152,153.44 is: 231,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,060.31 : 152,153.44 = 152,153.44 : x
  2. Step 2: Convert to fraction form
    100,060.31/152,153.44 = 152,153.44/x
  3. Step 3: Cross multiply
    100,060.31x = 152,153.44 × 152,153.44
  4. Step 4: Simplify right side
    100,060.31x = 23,150,668,543.07
  5. Step 5: Solve for x
    x = 23,150,668,543.07/100,060.31
  6. Step 6: Final answer
    x = 231,367.14

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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.