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Finding the Third Proportional to 39,124 and 84,332

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Solution

The third proportional to 39,124 and 84,332 is: 181,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,124 : 84,332 = 84,332 : x
  2. Step 2: Convert to fraction form
    39,124/84,332 = 84,332/x
  3. Step 3: Cross multiply
    39,124x = 84,332 × 84,332
  4. Step 4: Simplify right side
    39,124x = 7,111,886,224
  5. Step 5: Solve for x
    x = 7,111,886,224/39,124
  6. Step 6: Final answer
    x = 181,778.10

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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.