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Finding the Third Proportional to 72,923.25 and 112,497.75

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Solution

The third proportional to 72,923.25 and 112,497.75 is: 173,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,923.25 : 112,497.75 = 112,497.75 : x
  2. Step 2: Convert to fraction form
    72,923.25/112,497.75 = 112,497.75/x
  3. Step 3: Cross multiply
    72,923.25x = 112,497.75 × 112,497.75
  4. Step 4: Simplify right side
    72,923.25x = 12,655,743,755.06
  5. Step 5: Solve for x
    x = 12,655,743,755.06/72,923.25
  6. Step 6: Final answer
    x = 173,548.82

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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.