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Finding the Third Proportional to 50,698.25 and 117,362.69

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Solution

The third proportional to 50,698.25 and 117,362.69 is: 271,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.25 : 117,362.69 = 117,362.69 : x
  2. Step 2: Convert to fraction form
    50,698.25/117,362.69 = 117,362.69/x
  3. Step 3: Cross multiply
    50,698.25x = 117,362.69 × 117,362.69
  4. Step 4: Simplify right side
    50,698.25x = 13,774,000,417.22
  5. Step 5: Solve for x
    x = 13,774,000,417.22/50,698.25
  6. Step 6: Final answer
    x = 271,685.91

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