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Finding the Third Proportional to 49,026 and 103,560

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Solution

The third proportional to 49,026 and 103,560 is: 218,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,026 : 103,560 = 103,560 : x
  2. Step 2: Convert to fraction form
    49,026/103,560 = 103,560/x
  3. Step 3: Cross multiply
    49,026x = 103,560 × 103,560
  4. Step 4: Simplify right side
    49,026x = 10,724,673,600
  5. Step 5: Solve for x
    x = 10,724,673,600/49,026
  6. Step 6: Final answer
    x = 218,754.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.