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Finding the Third Proportional to 52,870.88 and 114,453.75

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Solution

The third proportional to 52,870.88 and 114,453.75 is: 247,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870.88 : 114,453.75 = 114,453.75 : x
  2. Step 2: Convert to fraction form
    52,870.88/114,453.75 = 114,453.75/x
  3. Step 3: Cross multiply
    52,870.88x = 114,453.75 × 114,453.75
  4. Step 4: Simplify right side
    52,870.88x = 13,099,660,889.06
  5. Step 5: Solve for x
    x = 13,099,660,889.06/52,870.88
  6. Step 6: Final answer
    x = 247,767.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.