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Finding the Third Proportional to 126,823.50 and 195,007.50

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Solution

The third proportional to 126,823.50 and 195,007.50 is: 299,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,823.50 : 195,007.50 = 195,007.50 : x
  2. Step 2: Convert to fraction form
    126,823.50/195,007.50 = 195,007.50/x
  3. Step 3: Cross multiply
    126,823.50x = 195,007.50 × 195,007.50
  4. Step 4: Simplify right side
    126,823.50x = 38,027,925,056.25
  5. Step 5: Solve for x
    x = 38,027,925,056.25/126,823.50
  6. Step 6: Final answer
    x = 299,849.20

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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.