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Finding the Third Proportional to 83,262.94 and 112,865.91

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Solution

The third proportional to 83,262.94 and 112,865.91 is: 152,993.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,262.94 : 112,865.91 = 112,865.91 : x
  2. Step 2: Convert to fraction form
    83,262.94/112,865.91 = 112,865.91/x
  3. Step 3: Cross multiply
    83,262.94x = 112,865.91 × 112,865.91
  4. Step 4: Simplify right side
    83,262.94x = 12,738,712,793.63
  5. Step 5: Solve for x
    x = 12,738,712,793.63/83,262.94
  6. Step 6: Final answer
    x = 152,993.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.