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Finding the Third Proportional to 67,527 and 146,946

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Solution

The third proportional to 67,527 and 146,946 is: 319,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,527 : 146,946 = 146,946 : x
  2. Step 2: Convert to fraction form
    67,527/146,946 = 146,946/x
  3. Step 3: Cross multiply
    67,527x = 146,946 × 146,946
  4. Step 4: Simplify right side
    67,527x = 21,593,126,916
  5. Step 5: Solve for x
    x = 21,593,126,916/67,527
  6. Step 6: Final answer
    x = 319,770.27

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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.