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Finding the Third Proportional to 87,205.50 and 130,808.25

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Solution

The third proportional to 87,205.50 and 130,808.25 is: 196,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,205.50 : 130,808.25 = 130,808.25 : x
  2. Step 2: Convert to fraction form
    87,205.50/130,808.25 = 130,808.25/x
  3. Step 3: Cross multiply
    87,205.50x = 130,808.25 × 130,808.25
  4. Step 4: Simplify right side
    87,205.50x = 17,110,798,268.06
  5. Step 5: Solve for x
    x = 17,110,798,268.06/87,205.50
  6. Step 6: Final answer
    x = 196,212.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.