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Finding the Third Proportional to 100,574.75 and 151,887.75

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Solution

The third proportional to 100,574.75 and 151,887.75 is: 229,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.75 : 151,887.75 = 151,887.75 : x
  2. Step 2: Convert to fraction form
    100,574.75/151,887.75 = 151,887.75/x
  3. Step 3: Cross multiply
    100,574.75x = 151,887.75 × 151,887.75
  4. Step 4: Simplify right side
    100,574.75x = 23,069,888,600.06
  5. Step 5: Solve for x
    x = 23,069,888,600.06/100,574.75
  6. Step 6: Final answer
    x = 229,380.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.