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Finding the Third Proportional to 42,201 and 92,243.81

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Solution

The third proportional to 42,201 and 92,243.81 is: 201,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,201 : 92,243.81 = 92,243.81 : x
  2. Step 2: Convert to fraction form
    42,201/92,243.81 = 92,243.81/x
  3. Step 3: Cross multiply
    42,201x = 92,243.81 × 92,243.81
  4. Step 4: Simplify right side
    42,201x = 8,508,920,944.54
  5. Step 5: Solve for x
    x = 8,508,920,944.54/42,201
  6. Step 6: Final answer
    x = 201,628.42

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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.