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Finding the Third Proportional to 85,855 and 131,333

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Solution

The third proportional to 85,855 and 131,333 is: 200,901.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,855 : 131,333 = 131,333 : x
  2. Step 2: Convert to fraction form
    85,855/131,333 = 131,333/x
  3. Step 3: Cross multiply
    85,855x = 131,333 × 131,333
  4. Step 4: Simplify right side
    85,855x = 17,248,356,889
  5. Step 5: Solve for x
    x = 17,248,356,889/85,855
  6. Step 6: Final answer
    x = 200,901.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.