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Finding the Third Proportional to 39,434 and 85,124

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Solution

The third proportional to 39,434 and 85,124 is: 183,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,434 : 85,124 = 85,124 : x
  2. Step 2: Convert to fraction form
    39,434/85,124 = 85,124/x
  3. Step 3: Cross multiply
    39,434x = 85,124 × 85,124
  4. Step 4: Simplify right side
    39,434x = 7,246,095,376
  5. Step 5: Solve for x
    x = 7,246,095,376/39,434
  6. Step 6: Final answer
    x = 183,752.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.