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Finding the Third Proportional to 49,437 and 116,652

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Solution

The third proportional to 49,437 and 116,652 is: 275,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,437 : 116,652 = 116,652 : x
  2. Step 2: Convert to fraction form
    49,437/116,652 = 116,652/x
  3. Step 3: Cross multiply
    49,437x = 116,652 × 116,652
  4. Step 4: Simplify right side
    49,437x = 13,607,689,104
  5. Step 5: Solve for x
    x = 13,607,689,104/49,437
  6. Step 6: Final answer
    x = 275,253.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.