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Finding the Third Proportional to 87,816 and 130,200

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Solution

The third proportional to 87,816 and 130,200 is: 193,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,816 : 130,200 = 130,200 : x
  2. Step 2: Convert to fraction form
    87,816/130,200 = 130,200/x
  3. Step 3: Cross multiply
    87,816x = 130,200 × 130,200
  4. Step 4: Simplify right side
    87,816x = 16,952,040,000
  5. Step 5: Solve for x
    x = 16,952,040,000/87,816
  6. Step 6: Final answer
    x = 193,040.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.