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Finding the Third Proportional to 87,951.19 and 171,527.81

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Solution

The third proportional to 87,951.19 and 171,527.81 is: 334,524.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,951.19 : 171,527.81 = 171,527.81 : x
  2. Step 2: Convert to fraction form
    87,951.19/171,527.81 = 171,527.81/x
  3. Step 3: Cross multiply
    87,951.19x = 171,527.81 × 171,527.81
  4. Step 4: Simplify right side
    87,951.19x = 29,421,790,461.04
  5. Step 5: Solve for x
    x = 29,421,790,461.04/87,951.19
  6. Step 6: Final answer
    x = 334,524.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.