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Finding the Third Proportional to 103,710 and 227,508

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Solution

The third proportional to 103,710 and 227,508 is: 499,082.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,710 : 227,508 = 227,508 : x
  2. Step 2: Convert to fraction form
    103,710/227,508 = 227,508/x
  3. Step 3: Cross multiply
    103,710x = 227,508 × 227,508
  4. Step 4: Simplify right side
    103,710x = 51,759,890,064
  5. Step 5: Solve for x
    x = 51,759,890,064/103,710
  6. Step 6: Final answer
    x = 499,082.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.