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Finding the Third Proportional to 71,089.50 and 108,170.25

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Solution

The third proportional to 71,089.50 and 108,170.25 is: 164,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,089.50 : 108,170.25 = 108,170.25 : x
  2. Step 2: Convert to fraction form
    71,089.50/108,170.25 = 108,170.25/x
  3. Step 3: Cross multiply
    71,089.50x = 108,170.25 × 108,170.25
  4. Step 4: Simplify right side
    71,089.50x = 11,700,802,985.06
  5. Step 5: Solve for x
    x = 11,700,802,985.06/71,089.50
  6. Step 6: Final answer
    x = 164,592.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.