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Finding the Third Proportional to 136,260.75 and 195,048.75

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Solution

The third proportional to 136,260.75 and 195,048.75 is: 279,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,260.75 : 195,048.75 = 195,048.75 : x
  2. Step 2: Convert to fraction form
    136,260.75/195,048.75 = 195,048.75/x
  3. Step 3: Cross multiply
    136,260.75x = 195,048.75 × 195,048.75
  4. Step 4: Simplify right side
    136,260.75x = 38,044,014,876.56
  5. Step 5: Solve for x
    x = 38,044,014,876.56/136,260.75
  6. Step 6: Final answer
    x = 279,200.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.