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Finding the Third Proportional to 111,051 and 239,841

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Solution

The third proportional to 111,051 and 239,841 is: 517,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,051 : 239,841 = 239,841 : x
  2. Step 2: Convert to fraction form
    111,051/239,841 = 239,841/x
  3. Step 3: Cross multiply
    111,051x = 239,841 × 239,841
  4. Step 4: Simplify right side
    111,051x = 57,523,705,281
  5. Step 5: Solve for x
    x = 57,523,705,281/111,051
  6. Step 6: Final answer
    x = 517,993.58

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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.