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Finding the Third Proportional to 42,986 and 89,236

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Solution

The third proportional to 42,986 and 89,236 is: 185,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,986 : 89,236 = 89,236 : x
  2. Step 2: Convert to fraction form
    42,986/89,236 = 89,236/x
  3. Step 3: Cross multiply
    42,986x = 89,236 × 89,236
  4. Step 4: Simplify right side
    42,986x = 7,963,063,696
  5. Step 5: Solve for x
    x = 7,963,063,696/42,986
  6. Step 6: Final answer
    x = 185,247.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.