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Finding the Third Proportional to 61,906 and 92,860

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Solution

The third proportional to 61,906 and 92,860 is: 139,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,906 : 92,860 = 92,860 : x
  2. Step 2: Convert to fraction form
    61,906/92,860 = 92,860/x
  3. Step 3: Cross multiply
    61,906x = 92,860 × 92,860
  4. Step 4: Simplify right side
    61,906x = 8,622,979,600
  5. Step 5: Solve for x
    x = 8,622,979,600/61,906
  6. Step 6: Final answer
    x = 139,291.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.