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Finding the Third Proportional to 87,085.13 and 134,591.63

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Solution

The third proportional to 87,085.13 and 134,591.63 is: 208,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,085.13 : 134,591.63 = 134,591.63 : x
  2. Step 2: Convert to fraction form
    87,085.13/134,591.63 = 134,591.63/x
  3. Step 3: Cross multiply
    87,085.13x = 134,591.63 × 134,591.63
  4. Step 4: Simplify right side
    87,085.13x = 18,114,905,520.14
  5. Step 5: Solve for x
    x = 18,114,905,520.14/87,085.13
  6. Step 6: Final answer
    x = 208,013.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.