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Finding the Third Proportional to 52,097 and 107,887

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Solution

The third proportional to 52,097 and 107,887 is: 223,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,097 : 107,887 = 107,887 : x
  2. Step 2: Convert to fraction form
    52,097/107,887 = 107,887/x
  3. Step 3: Cross multiply
    52,097x = 107,887 × 107,887
  4. Step 4: Simplify right side
    52,097x = 11,639,604,769
  5. Step 5: Solve for x
    x = 11,639,604,769/52,097
  6. Step 6: Final answer
    x = 223,421.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.