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Finding the Third Proportional to 126,468 and 190,532.25

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Solution

The third proportional to 126,468 and 190,532.25 is: 287,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,468 : 190,532.25 = 190,532.25 : x
  2. Step 2: Convert to fraction form
    126,468/190,532.25 = 190,532.25/x
  3. Step 3: Cross multiply
    126,468x = 190,532.25 × 190,532.25
  4. Step 4: Simplify right side
    126,468x = 36,302,538,290.06
  5. Step 5: Solve for x
    x = 36,302,538,290.06/126,468
  6. Step 6: Final answer
    x = 287,049.20

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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.