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Finding the Third Proportional to 66,038 and 144,112

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Solution

The third proportional to 66,038 and 144,112 is: 314,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,038 : 144,112 = 144,112 : x
  2. Step 2: Convert to fraction form
    66,038/144,112 = 144,112/x
  3. Step 3: Cross multiply
    66,038x = 144,112 × 144,112
  4. Step 4: Simplify right side
    66,038x = 20,768,268,544
  5. Step 5: Solve for x
    x = 20,768,268,544/66,038
  6. Step 6: Final answer
    x = 314,489.67

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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.