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Finding the Third Proportional to 67,292 and 146,370

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Solution

The third proportional to 67,292 and 146,370 is: 318,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,292 : 146,370 = 146,370 : x
  2. Step 2: Convert to fraction form
    67,292/146,370 = 146,370/x
  3. Step 3: Cross multiply
    67,292x = 146,370 × 146,370
  4. Step 4: Simplify right side
    67,292x = 21,424,176,900
  5. Step 5: Solve for x
    x = 21,424,176,900/67,292
  6. Step 6: Final answer
    x = 318,376.28

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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.