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Finding the Third Proportional to 61,077 and 89,427

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Solution

The third proportional to 61,077 and 89,427 is: 130,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,077 : 89,427 = 89,427 : x
  2. Step 2: Convert to fraction form
    61,077/89,427 = 89,427/x
  3. Step 3: Cross multiply
    61,077x = 89,427 × 89,427
  4. Step 4: Simplify right side
    61,077x = 7,997,188,329
  5. Step 5: Solve for x
    x = 7,997,188,329/61,077
  6. Step 6: Final answer
    x = 130,936.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.