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Finding the Third Proportional to 48,534 and 103,815.06

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Solution

The third proportional to 48,534 and 103,815.06 is: 222,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534 : 103,815.06 = 103,815.06 : x
  2. Step 2: Convert to fraction form
    48,534/103,815.06 = 103,815.06/x
  3. Step 3: Cross multiply
    48,534x = 103,815.06 × 103,815.06
  4. Step 4: Simplify right side
    48,534x = 10,777,567,201.88
  5. Step 5: Solve for x
    x = 10,777,567,201.88/48,534
  6. Step 6: Final answer
    x = 222,062.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.