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Finding the Third Proportional to 94,911.75 and 140,909.63

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Solution

The third proportional to 94,911.75 and 140,909.63 is: 209,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,911.75 : 140,909.63 = 140,909.63 : x
  2. Step 2: Convert to fraction form
    94,911.75/140,909.63 = 140,909.63/x
  3. Step 3: Cross multiply
    94,911.75x = 140,909.63 × 140,909.63
  4. Step 4: Simplify right side
    94,911.75x = 19,855,522,417.64
  5. Step 5: Solve for x
    x = 19,855,522,417.64/94,911.75
  6. Step 6: Final answer
    x = 209,199.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.