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Finding the Third Proportional to 66,037 and 144,110

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Solution

The third proportional to 66,037 and 144,110 is: 314,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,037 : 144,110 = 144,110 : x
  2. Step 2: Convert to fraction form
    66,037/144,110 = 144,110/x
  3. Step 3: Cross multiply
    66,037x = 144,110 × 144,110
  4. Step 4: Simplify right side
    66,037x = 20,767,692,100
  5. Step 5: Solve for x
    x = 20,767,692,100/66,037
  6. Step 6: Final answer
    x = 314,485.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.