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Finding the Third Proportional to 55,460 and 90,110

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Solution

The third proportional to 55,460 and 90,110 is: 146,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,460 : 90,110 = 90,110 : x
  2. Step 2: Convert to fraction form
    55,460/90,110 = 90,110/x
  3. Step 3: Cross multiply
    55,460x = 90,110 × 90,110
  4. Step 4: Simplify right side
    55,460x = 8,119,812,100
  5. Step 5: Solve for x
    x = 8,119,812,100/55,460
  6. Step 6: Final answer
    x = 146,408.44

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.