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Finding the Third Proportional to 87,144 and 130,369

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Solution

The third proportional to 87,144 and 130,369 is: 195,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,144 : 130,369 = 130,369 : x
  2. Step 2: Convert to fraction form
    87,144/130,369 = 130,369/x
  3. Step 3: Cross multiply
    87,144x = 130,369 × 130,369
  4. Step 4: Simplify right side
    87,144x = 16,996,076,161
  5. Step 5: Solve for x
    x = 16,996,076,161/87,144
  6. Step 6: Final answer
    x = 195,034.38

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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.