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Finding the Third Proportional to 43,124 and 91,480

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Solution

The third proportional to 43,124 and 91,480 is: 194,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,124 : 91,480 = 91,480 : x
  2. Step 2: Convert to fraction form
    43,124/91,480 = 91,480/x
  3. Step 3: Cross multiply
    43,124x = 91,480 × 91,480
  4. Step 4: Simplify right side
    43,124x = 8,368,590,400
  5. Step 5: Solve for x
    x = 8,368,590,400/43,124
  6. Step 6: Final answer
    x = 194,058.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.