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Finding the Third Proportional to 100,064.25 and 152,160.75

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Solution

The third proportional to 100,064.25 and 152,160.75 is: 231,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,064.25 : 152,160.75 = 152,160.75 : x
  2. Step 2: Convert to fraction form
    100,064.25/152,160.75 = 152,160.75/x
  3. Step 3: Cross multiply
    100,064.25x = 152,160.75 × 152,160.75
  4. Step 4: Simplify right side
    100,064.25x = 23,152,893,840.56
  5. Step 5: Solve for x
    x = 23,152,893,840.56/100,064.25
  6. Step 6: Final answer
    x = 231,380.28

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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.