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Finding the Third Proportional to 84,837 and 185,064

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Solution

The third proportional to 84,837 and 185,064 is: 403,699.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,837 : 185,064 = 185,064 : x
  2. Step 2: Convert to fraction form
    84,837/185,064 = 185,064/x
  3. Step 3: Cross multiply
    84,837x = 185,064 × 185,064
  4. Step 4: Simplify right side
    84,837x = 34,248,684,096
  5. Step 5: Solve for x
    x = 34,248,684,096/84,837
  6. Step 6: Final answer
    x = 403,699.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.