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Finding the Third Proportional to 43,807 and 92,009

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Solution

The third proportional to 43,807 and 92,009 is: 193,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,807 : 92,009 = 92,009 : x
  2. Step 2: Convert to fraction form
    43,807/92,009 = 92,009/x
  3. Step 3: Cross multiply
    43,807x = 92,009 × 92,009
  4. Step 4: Simplify right side
    43,807x = 8,465,656,081
  5. Step 5: Solve for x
    x = 8,465,656,081/43,807
  6. Step 6: Final answer
    x = 193,248.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.