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Finding the Third Proportional to 39,025 and 83,968

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Solution

The third proportional to 39,025 and 83,968 is: 180,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,025 : 83,968 = 83,968 : x
  2. Step 2: Convert to fraction form
    39,025/83,968 = 83,968/x
  3. Step 3: Cross multiply
    39,025x = 83,968 × 83,968
  4. Step 4: Simplify right side
    39,025x = 7,050,625,024
  5. Step 5: Solve for x
    x = 7,050,625,024/39,025
  6. Step 6: Final answer
    x = 180,669.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.