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Finding the Third Proportional to 85,253 and 133,443

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Solution

The third proportional to 85,253 and 133,443 is: 208,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,253 : 133,443 = 133,443 : x
  2. Step 2: Convert to fraction form
    85,253/133,443 = 133,443/x
  3. Step 3: Cross multiply
    85,253x = 133,443 × 133,443
  4. Step 4: Simplify right side
    85,253x = 17,807,034,249
  5. Step 5: Solve for x
    x = 17,807,034,249/85,253
  6. Step 6: Final answer
    x = 208,872.82

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.