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Finding the Third Proportional to 47,720 and 103,646

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Solution

The third proportional to 47,720 and 103,646 is: 225,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,720 : 103,646 = 103,646 : x
  2. Step 2: Convert to fraction form
    47,720/103,646 = 103,646/x
  3. Step 3: Cross multiply
    47,720x = 103,646 × 103,646
  4. Step 4: Simplify right side
    47,720x = 10,742,493,316
  5. Step 5: Solve for x
    x = 10,742,493,316/47,720
  6. Step 6: Final answer
    x = 225,115.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.