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Finding the Third Proportional to 90,167.13 and 140,709.63

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Solution

The third proportional to 90,167.13 and 140,709.63 is: 219,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,167.13 : 140,709.63 = 140,709.63 : x
  2. Step 2: Convert to fraction form
    90,167.13/140,709.63 = 140,709.63/x
  3. Step 3: Cross multiply
    90,167.13x = 140,709.63 × 140,709.63
  4. Step 4: Simplify right side
    90,167.13x = 19,799,198,567.64
  5. Step 5: Solve for x
    x = 19,799,198,567.64/90,167.13
  6. Step 6: Final answer
    x = 219,583.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.