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Finding the Third Proportional to 105,972 and 224,580

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Solution

The third proportional to 105,972 and 224,580 is: 475,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,972 : 224,580 = 224,580 : x
  2. Step 2: Convert to fraction form
    105,972/224,580 = 224,580/x
  3. Step 3: Cross multiply
    105,972x = 224,580 × 224,580
  4. Step 4: Simplify right side
    105,972x = 50,436,176,400
  5. Step 5: Solve for x
    x = 50,436,176,400/105,972
  6. Step 6: Final answer
    x = 475,938.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.