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Finding the Third Proportional to 87,271.88 and 190,095.75

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Solution

The third proportional to 87,271.88 and 190,095.75 is: 414,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,271.88 : 190,095.75 = 190,095.75 : x
  2. Step 2: Convert to fraction form
    87,271.88/190,095.75 = 190,095.75/x
  3. Step 3: Cross multiply
    87,271.88x = 190,095.75 × 190,095.75
  4. Step 4: Simplify right side
    87,271.88x = 36,136,394,168.06
  5. Step 5: Solve for x
    x = 36,136,394,168.06/87,271.88
  6. Step 6: Final answer
    x = 414,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.