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Finding the Third Proportional to 87,950.81 and 171,527.06

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Solution

The third proportional to 87,950.81 and 171,527.06 is: 334,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,950.81 : 171,527.06 = 171,527.06 : x
  2. Step 2: Convert to fraction form
    87,950.81/171,527.06 = 171,527.06/x
  3. Step 3: Cross multiply
    87,950.81x = 171,527.06 × 171,527.06
  4. Step 4: Simplify right side
    87,950.81x = 29,421,533,169.88
  5. Step 5: Solve for x
    x = 29,421,533,169.88/87,950.81
  6. Step 6: Final answer
    x = 334,522.59

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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.