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Finding the Third Proportional to 42,948 and 92,247

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Solution

The third proportional to 42,948 and 92,247 is: 198,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,948 : 92,247 = 92,247 : x
  2. Step 2: Convert to fraction form
    42,948/92,247 = 92,247/x
  3. Step 3: Cross multiply
    42,948x = 92,247 × 92,247
  4. Step 4: Simplify right side
    42,948x = 8,509,509,009
  5. Step 5: Solve for x
    x = 8,509,509,009/42,948
  6. Step 6: Final answer
    x = 198,135.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.