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Finding the Third Proportional to 47,090 and 103,036

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Solution

The third proportional to 47,090 and 103,036 is: 225,449.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,090 : 103,036 = 103,036 : x
  2. Step 2: Convert to fraction form
    47,090/103,036 = 103,036/x
  3. Step 3: Cross multiply
    47,090x = 103,036 × 103,036
  4. Step 4: Simplify right side
    47,090x = 10,616,417,296
  5. Step 5: Solve for x
    x = 10,616,417,296/47,090
  6. Step 6: Final answer
    x = 225,449.51

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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.