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Finding the Third Proportional to 66,908 and 144,376

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Solution

The third proportional to 66,908 and 144,376 is: 311,538.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,908 : 144,376 = 144,376 : x
  2. Step 2: Convert to fraction form
    66,908/144,376 = 144,376/x
  3. Step 3: Cross multiply
    66,908x = 144,376 × 144,376
  4. Step 4: Simplify right side
    66,908x = 20,844,429,376
  5. Step 5: Solve for x
    x = 20,844,429,376/66,908
  6. Step 6: Final answer
    x = 311,538.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.