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Finding the Third Proportional to 95,091 and 148,089

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Solution

The third proportional to 95,091 and 148,089 is: 230,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,091 : 148,089 = 148,089 : x
  2. Step 2: Convert to fraction form
    95,091/148,089 = 148,089/x
  3. Step 3: Cross multiply
    95,091x = 148,089 × 148,089
  4. Step 4: Simplify right side
    95,091x = 21,930,351,921
  5. Step 5: Solve for x
    x = 21,930,351,921/95,091
  6. Step 6: Final answer
    x = 230,624.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.