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Finding the Third Proportional to 85,012 and 124,925

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Solution

The third proportional to 85,012 and 124,925 is: 183,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,012 : 124,925 = 124,925 : x
  2. Step 2: Convert to fraction form
    85,012/124,925 = 124,925/x
  3. Step 3: Cross multiply
    85,012x = 124,925 × 124,925
  4. Step 4: Simplify right side
    85,012x = 15,606,255,625
  5. Step 5: Solve for x
    x = 15,606,255,625/85,012
  6. Step 6: Final answer
    x = 183,577.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.