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Finding the Third Proportional to 84,869 and 92,037.50

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Solution

The third proportional to 84,869 and 92,037.50 is: 99,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,869 : 92,037.50 = 92,037.50 : x
  2. Step 2: Convert to fraction form
    84,869/92,037.50 = 92,037.50/x
  3. Step 3: Cross multiply
    84,869x = 92,037.50 × 92,037.50
  4. Step 4: Simplify right side
    84,869x = 8,470,901,406.25
  5. Step 5: Solve for x
    x = 8,470,901,406.25/84,869
  6. Step 6: Final answer
    x = 99,811.49

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.