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Finding the Third Proportional to 75,265.88 and 103,206.34

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Solution

The third proportional to 75,265.88 and 103,206.34 is: 141,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,265.88 : 103,206.34 = 103,206.34 : x
  2. Step 2: Convert to fraction form
    75,265.88/103,206.34 = 103,206.34/x
  3. Step 3: Cross multiply
    75,265.88x = 103,206.34 × 103,206.34
  4. Step 4: Simplify right side
    75,265.88x = 10,651,548,583.94
  5. Step 5: Solve for x
    x = 10,651,548,583.94/75,265.88
  6. Step 6: Final answer
    x = 141,518.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.