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Finding the Third Proportional to 72,855.86 and 112,398.42

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Solution

The third proportional to 72,855.86 and 112,398.42 is: 173,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,855.86 : 112,398.42 = 112,398.42 : x
  2. Step 2: Convert to fraction form
    72,855.86/112,398.42 = 112,398.42/x
  3. Step 3: Cross multiply
    72,855.86x = 112,398.42 × 112,398.42
  4. Step 4: Simplify right side
    72,855.86x = 12,633,403,922.82
  5. Step 5: Solve for x
    x = 12,633,403,922.82/72,855.86
  6. Step 6: Final answer
    x = 173,402.71

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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.