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Finding the Third Proportional to 47,360 and 103,495

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Solution

The third proportional to 47,360 and 103,495 is: 226,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,360 : 103,495 = 103,495 : x
  2. Step 2: Convert to fraction form
    47,360/103,495 = 103,495/x
  3. Step 3: Cross multiply
    47,360x = 103,495 × 103,495
  4. Step 4: Simplify right side
    47,360x = 10,711,215,025
  5. Step 5: Solve for x
    x = 10,711,215,025/47,360
  6. Step 6: Final answer
    x = 226,165.86

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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.