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Finding the Third Proportional to 52,783.52 and 116,343.84

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Solution

The third proportional to 52,783.52 and 116,343.84 is: 256,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783.52 : 116,343.84 = 116,343.84 : x
  2. Step 2: Convert to fraction form
    52,783.52/116,343.84 = 116,343.84/x
  3. Step 3: Cross multiply
    52,783.52x = 116,343.84 × 116,343.84
  4. Step 4: Simplify right side
    52,783.52x = 13,535,889,978.52
  5. Step 5: Solve for x
    x = 13,535,889,978.52/52,783.52
  6. Step 6: Final answer
    x = 256,441.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.