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Finding the Third Proportional to 85,025 and 124,945

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Solution

The third proportional to 85,025 and 124,945 is: 183,607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,025 : 124,945 = 124,945 : x
  2. Step 2: Convert to fraction form
    85,025/124,945 = 124,945/x
  3. Step 3: Cross multiply
    85,025x = 124,945 × 124,945
  4. Step 4: Simplify right side
    85,025x = 15,611,253,025
  5. Step 5: Solve for x
    x = 15,611,253,025/85,025
  6. Step 6: Final answer
    x = 183,607.80

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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.