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Finding the Third Proportional to 90,027 and 145,017

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Solution

The third proportional to 90,027 and 145,017 is: 233,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,027 : 145,017 = 145,017 : x
  2. Step 2: Convert to fraction form
    90,027/145,017 = 145,017/x
  3. Step 3: Cross multiply
    90,027x = 145,017 × 145,017
  4. Step 4: Simplify right side
    90,027x = 21,029,930,289
  5. Step 5: Solve for x
    x = 21,029,930,289/90,027
  6. Step 6: Final answer
    x = 233,595.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.