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Finding the Third Proportional to 72,843.38 and 112,500

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Solution

The third proportional to 72,843.38 and 112,500 is: 173,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,843.38 : 112,500 = 112,500 : x
  2. Step 2: Convert to fraction form
    72,843.38/112,500 = 112,500/x
  3. Step 3: Cross multiply
    72,843.38x = 112,500 × 112,500
  4. Step 4: Simplify right side
    72,843.38x = 12,656,250,000
  5. Step 5: Solve for x
    x = 12,656,250,000/72,843.38
  6. Step 6: Final answer
    x = 173,746.07

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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.