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Finding the Third Proportional to 90,088 and 140,122

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Solution

The third proportional to 90,088 and 140,122 is: 217,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,088 : 140,122 = 140,122 : x
  2. Step 2: Convert to fraction form
    90,088/140,122 = 140,122/x
  3. Step 3: Cross multiply
    90,088x = 140,122 × 140,122
  4. Step 4: Simplify right side
    90,088x = 19,634,174,884
  5. Step 5: Solve for x
    x = 19,634,174,884/90,088
  6. Step 6: Final answer
    x = 217,944.40

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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.