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Finding the Third Proportional to 52,426.88 and 114,069.75

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Solution

The third proportional to 52,426.88 and 114,069.75 is: 248,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,426.88 : 114,069.75 = 114,069.75 : x
  2. Step 2: Convert to fraction form
    52,426.88/114,069.75 = 114,069.75/x
  3. Step 3: Cross multiply
    52,426.88x = 114,069.75 × 114,069.75
  4. Step 4: Simplify right side
    52,426.88x = 13,011,907,865.06
  5. Step 5: Solve for x
    x = 13,011,907,865.06/52,426.88
  6. Step 6: Final answer
    x = 248,191.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.