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Finding the Third Proportional to 47,360 and 109,355

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Solution

The third proportional to 47,360 and 109,355 is: 252,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,360 : 109,355 = 109,355 : x
  2. Step 2: Convert to fraction form
    47,360/109,355 = 109,355/x
  3. Step 3: Cross multiply
    47,360x = 109,355 × 109,355
  4. Step 4: Simplify right side
    47,360x = 11,958,516,025
  5. Step 5: Solve for x
    x = 11,958,516,025/47,360
  6. Step 6: Final answer
    x = 252,502.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.