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Finding the Third Proportional to 61,590.50 and 85,811

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Solution

The third proportional to 61,590.50 and 85,811 is: 119,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,590.50 : 85,811 = 85,811 : x
  2. Step 2: Convert to fraction form
    61,590.50/85,811 = 85,811/x
  3. Step 3: Cross multiply
    61,590.50x = 85,811 × 85,811
  4. Step 4: Simplify right side
    61,590.50x = 7,363,527,721
  5. Step 5: Solve for x
    x = 7,363,527,721/61,590.50
  6. Step 6: Final answer
    x = 119,556.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.