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Finding the Third Proportional to 60,997 and 92,346

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Solution

The third proportional to 60,997 and 92,346 is: 139,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,997 : 92,346 = 92,346 : x
  2. Step 2: Convert to fraction form
    60,997/92,346 = 92,346/x
  3. Step 3: Cross multiply
    60,997x = 92,346 × 92,346
  4. Step 4: Simplify right side
    60,997x = 8,527,783,716
  5. Step 5: Solve for x
    x = 8,527,783,716/60,997
  6. Step 6: Final answer
    x = 139,806.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.