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Finding the Third Proportional to 29,332 and 69,174

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Solution

The third proportional to 29,332 and 69,174 is: 163,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,332 : 69,174 = 69,174 : x
  2. Step 2: Convert to fraction form
    29,332/69,174 = 69,174/x
  3. Step 3: Cross multiply
    29,332x = 69,174 × 69,174
  4. Step 4: Simplify right side
    29,332x = 4,785,042,276
  5. Step 5: Solve for x
    x = 4,785,042,276/29,332
  6. Step 6: Final answer
    x = 163,133.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.