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Finding the Third Proportional to 85,888 and 183,188

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Solution

The third proportional to 85,888 and 183,188 is: 390,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,888 : 183,188 = 183,188 : x
  2. Step 2: Convert to fraction form
    85,888/183,188 = 183,188/x
  3. Step 3: Cross multiply
    85,888x = 183,188 × 183,188
  4. Step 4: Simplify right side
    85,888x = 33,557,843,344
  5. Step 5: Solve for x
    x = 33,557,843,344/85,888
  6. Step 6: Final answer
    x = 390,716.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.