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Finding the Third Proportional to 67,536 and 146,964

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Solution

The third proportional to 67,536 and 146,964 is: 319,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536 : 146,964 = 146,964 : x
  2. Step 2: Convert to fraction form
    67,536/146,964 = 146,964/x
  3. Step 3: Cross multiply
    67,536x = 146,964 × 146,964
  4. Step 4: Simplify right side
    67,536x = 21,598,417,296
  5. Step 5: Solve for x
    x = 21,598,417,296/67,536
  6. Step 6: Final answer
    x = 319,805.99

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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.