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Finding the Third Proportional to 39,262 and 85,858

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Solution

The third proportional to 39,262 and 85,858 is: 187,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,262 : 85,858 = 85,858 : x
  2. Step 2: Convert to fraction form
    39,262/85,858 = 85,858/x
  3. Step 3: Cross multiply
    39,262x = 85,858 × 85,858
  4. Step 4: Simplify right side
    39,262x = 7,371,596,164
  5. Step 5: Solve for x
    x = 7,371,596,164/39,262
  6. Step 6: Final answer
    x = 187,753.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.