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Finding the Third Proportional to 77,714.44 and 120,006

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Solution

The third proportional to 77,714.44 and 120,006 is: 185,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714.44 : 120,006 = 120,006 : x
  2. Step 2: Convert to fraction form
    77,714.44/120,006 = 120,006/x
  3. Step 3: Cross multiply
    77,714.44x = 120,006 × 120,006
  4. Step 4: Simplify right side
    77,714.44x = 14,401,440,036
  5. Step 5: Solve for x
    x = 14,401,440,036/77,714.44
  6. Step 6: Final answer
    x = 185,312.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.