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Finding the Third Proportional to 66,397 and 143,162

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Solution

The third proportional to 66,397 and 143,162 is: 308,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,397 : 143,162 = 143,162 : x
  2. Step 2: Convert to fraction form
    66,397/143,162 = 143,162/x
  3. Step 3: Cross multiply
    66,397x = 143,162 × 143,162
  4. Step 4: Simplify right side
    66,397x = 20,495,358,244
  5. Step 5: Solve for x
    x = 20,495,358,244/66,397
  6. Step 6: Final answer
    x = 308,678.98

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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.