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Finding the Third Proportional to 49,323 and 106,530

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Solution

The third proportional to 49,323 and 106,530 is: 230,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,323 : 106,530 = 106,530 : x
  2. Step 2: Convert to fraction form
    49,323/106,530 = 106,530/x
  3. Step 3: Cross multiply
    49,323x = 106,530 × 106,530
  4. Step 4: Simplify right side
    49,323x = 11,348,640,900
  5. Step 5: Solve for x
    x = 11,348,640,900/49,323
  6. Step 6: Final answer
    x = 230,088.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.