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Finding the Third Proportional to 52,157 and 111,693.75

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Solution

The third proportional to 52,157 and 111,693.75 is: 239,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,157 : 111,693.75 = 111,693.75 : x
  2. Step 2: Convert to fraction form
    52,157/111,693.75 = 111,693.75/x
  3. Step 3: Cross multiply
    52,157x = 111,693.75 × 111,693.75
  4. Step 4: Simplify right side
    52,157x = 12,475,493,789.06
  5. Step 5: Solve for x
    x = 12,475,493,789.06/52,157
  6. Step 6: Final answer
    x = 239,191.17

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