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Finding the Third Proportional to 49,607 and 108,529

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Solution

The third proportional to 49,607 and 108,529 is: 237,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,607 : 108,529 = 108,529 : x
  2. Step 2: Convert to fraction form
    49,607/108,529 = 108,529/x
  3. Step 3: Cross multiply
    49,607x = 108,529 × 108,529
  4. Step 4: Simplify right side
    49,607x = 11,778,543,841
  5. Step 5: Solve for x
    x = 11,778,543,841/49,607
  6. Step 6: Final answer
    x = 237,437.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.