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Finding the Third Proportional to 30,332 and 62,174

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Solution

The third proportional to 30,332 and 62,174 is: 127,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332 : 62,174 = 62,174 : x
  2. Step 2: Convert to fraction form
    30,332/62,174 = 62,174/x
  3. Step 3: Cross multiply
    30,332x = 62,174 × 62,174
  4. Step 4: Simplify right side
    30,332x = 3,865,606,276
  5. Step 5: Solve for x
    x = 3,865,606,276/30,332
  6. Step 6: Final answer
    x = 127,443.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.