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Finding the Third Proportional to 47,732 and 103,330

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Solution

The third proportional to 47,732 and 103,330 is: 223,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,732 : 103,330 = 103,330 : x
  2. Step 2: Convert to fraction form
    47,732/103,330 = 103,330/x
  3. Step 3: Cross multiply
    47,732x = 103,330 × 103,330
  4. Step 4: Simplify right side
    47,732x = 10,677,088,900
  5. Step 5: Solve for x
    x = 10,677,088,900/47,732
  6. Step 6: Final answer
    x = 223,688.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.