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Finding the Third Proportional to 61,869 and 96,045

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Solution

The third proportional to 61,869 and 96,045 is: 149,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,869 : 96,045 = 96,045 : x
  2. Step 2: Convert to fraction form
    61,869/96,045 = 96,045/x
  3. Step 3: Cross multiply
    61,869x = 96,045 × 96,045
  4. Step 4: Simplify right side
    61,869x = 9,224,642,025
  5. Step 5: Solve for x
    x = 9,224,642,025/61,869
  6. Step 6: Final answer
    x = 149,099.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.