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Finding the Third Proportional to 87,048 and 130,242

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Solution

The third proportional to 87,048 and 130,242 is: 194,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,048 : 130,242 = 130,242 : x
  2. Step 2: Convert to fraction form
    87,048/130,242 = 130,242/x
  3. Step 3: Cross multiply
    87,048x = 130,242 × 130,242
  4. Step 4: Simplify right side
    87,048x = 16,962,978,564
  5. Step 5: Solve for x
    x = 16,962,978,564/87,048
  6. Step 6: Final answer
    x = 194,869.25

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