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Finding the Third Proportional to 49,356 and 106,605

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Solution

The third proportional to 49,356 and 106,605 is: 230,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 106,605 = 106,605 : x
  2. Step 2: Convert to fraction form
    49,356/106,605 = 106,605/x
  3. Step 3: Cross multiply
    49,356x = 106,605 × 106,605
  4. Step 4: Simplify right side
    49,356x = 11,364,626,025
  5. Step 5: Solve for x
    x = 11,364,626,025/49,356
  6. Step 6: Final answer
    x = 230,258.25

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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.