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Finding the Third Proportional to 52,131 and 110,382

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Solution

The third proportional to 52,131 and 110,382 is: 233,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,131 : 110,382 = 110,382 : x
  2. Step 2: Convert to fraction form
    52,131/110,382 = 110,382/x
  3. Step 3: Cross multiply
    52,131x = 110,382 × 110,382
  4. Step 4: Simplify right side
    52,131x = 12,184,185,924
  5. Step 5: Solve for x
    x = 12,184,185,924/52,131
  6. Step 6: Final answer
    x = 233,722.47

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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.