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Finding the Third Proportional to 49,321 and 106,526

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Solution

The third proportional to 49,321 and 106,526 is: 230,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,321 : 106,526 = 106,526 : x
  2. Step 2: Convert to fraction form
    49,321/106,526 = 106,526/x
  3. Step 3: Cross multiply
    49,321x = 106,526 × 106,526
  4. Step 4: Simplify right side
    49,321x = 11,347,788,676
  5. Step 5: Solve for x
    x = 11,347,788,676/49,321
  6. Step 6: Final answer
    x = 230,080.26

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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.