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Finding the Third Proportional to 80,333 and 107,323

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Solution

The third proportional to 80,333 and 107,323 is: 143,381.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,333 : 107,323 = 107,323 : x
  2. Step 2: Convert to fraction form
    80,333/107,323 = 107,323/x
  3. Step 3: Cross multiply
    80,333x = 107,323 × 107,323
  4. Step 4: Simplify right side
    80,333x = 11,518,226,329
  5. Step 5: Solve for x
    x = 11,518,226,329/80,333
  6. Step 6: Final answer
    x = 143,381.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.