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Finding the Third Proportional to 72,847 and 112,506

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Solution

The third proportional to 72,847 and 112,506 is: 173,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,847 : 112,506 = 112,506 : x
  2. Step 2: Convert to fraction form
    72,847/112,506 = 112,506/x
  3. Step 3: Cross multiply
    72,847x = 112,506 × 112,506
  4. Step 4: Simplify right side
    72,847x = 12,657,600,036
  5. Step 5: Solve for x
    x = 12,657,600,036/72,847
  6. Step 6: Final answer
    x = 173,755.95

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.