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Finding the Third Proportional to 102,073 and 224,071

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Solution

The third proportional to 102,073 and 224,071 is: 491,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073 : 224,071 = 224,071 : x
  2. Step 2: Convert to fraction form
    102,073/224,071 = 224,071/x
  3. Step 3: Cross multiply
    102,073x = 224,071 × 224,071
  4. Step 4: Simplify right side
    102,073x = 50,207,813,041
  5. Step 5: Solve for x
    x = 50,207,813,041/102,073
  6. Step 6: Final answer
    x = 491,881.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.