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Finding the Third Proportional to 126,848.25 and 195,041.25

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Solution

The third proportional to 126,848.25 and 195,041.25 is: 299,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,848.25 : 195,041.25 = 195,041.25 : x
  2. Step 2: Convert to fraction form
    126,848.25/195,041.25 = 195,041.25/x
  3. Step 3: Cross multiply
    126,848.25x = 195,041.25 × 195,041.25
  4. Step 4: Simplify right side
    126,848.25x = 38,041,089,201.56
  5. Step 5: Solve for x
    x = 38,041,089,201.56/126,848.25
  6. Step 6: Final answer
    x = 299,894.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.