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Finding the Third Proportional to 49,621 and 107,017

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Solution

The third proportional to 49,621 and 107,017 is: 230,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,621 : 107,017 = 107,017 : x
  2. Step 2: Convert to fraction form
    49,621/107,017 = 107,017/x
  3. Step 3: Cross multiply
    49,621x = 107,017 × 107,017
  4. Step 4: Simplify right side
    49,621x = 11,452,638,289
  5. Step 5: Solve for x
    x = 11,452,638,289/49,621
  6. Step 6: Final answer
    x = 230,802.25

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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.