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Finding the Third Proportional to 49,526 and 109,420

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Solution

The third proportional to 49,526 and 109,420 is: 241,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,526 : 109,420 = 109,420 : x
  2. Step 2: Convert to fraction form
    49,526/109,420 = 109,420/x
  3. Step 3: Cross multiply
    49,526x = 109,420 × 109,420
  4. Step 4: Simplify right side
    49,526x = 11,972,736,400
  5. Step 5: Solve for x
    x = 11,972,736,400/49,526
  6. Step 6: Final answer
    x = 241,746.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.