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Finding the Third Proportional to 67,152 and 146,290

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Solution

The third proportional to 67,152 and 146,290 is: 318,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,152 : 146,290 = 146,290 : x
  2. Step 2: Convert to fraction form
    67,152/146,290 = 146,290/x
  3. Step 3: Cross multiply
    67,152x = 146,290 × 146,290
  4. Step 4: Simplify right side
    67,152x = 21,400,764,100
  5. Step 5: Solve for x
    x = 21,400,764,100/67,152
  6. Step 6: Final answer
    x = 318,691.39

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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.