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Finding the Third Proportional to 49,616 and 108,547

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Solution

The third proportional to 49,616 and 108,547 is: 237,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,616 : 108,547 = 108,547 : x
  2. Step 2: Convert to fraction form
    49,616/108,547 = 108,547/x
  3. Step 3: Cross multiply
    49,616x = 108,547 × 108,547
  4. Step 4: Simplify right side
    49,616x = 11,782,451,209
  5. Step 5: Solve for x
    x = 11,782,451,209/49,616
  6. Step 6: Final answer
    x = 237,472.82

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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.