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Finding the Third Proportional to 120,714.75 and 191,103.75

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Solution

The third proportional to 120,714.75 and 191,103.75 is: 302,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,714.75 : 191,103.75 = 191,103.75 : x
  2. Step 2: Convert to fraction form
    120,714.75/191,103.75 = 191,103.75/x
  3. Step 3: Cross multiply
    120,714.75x = 191,103.75 × 191,103.75
  4. Step 4: Simplify right side
    120,714.75x = 36,520,643,264.06
  5. Step 5: Solve for x
    x = 36,520,643,264.06/120,714.75
  6. Step 6: Final answer
    x = 302,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.