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Finding the Third Proportional to 53,318.53 and 123,434.58

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Solution

The third proportional to 53,318.53 and 123,434.58 is: 285,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,318.53 : 123,434.58 = 123,434.58 : x
  2. Step 2: Convert to fraction form
    53,318.53/123,434.58 = 123,434.58/x
  3. Step 3: Cross multiply
    53,318.53x = 123,434.58 × 123,434.58
  4. Step 4: Simplify right side
    53,318.53x = 15,236,095,076.90
  5. Step 5: Solve for x
    x = 15,236,095,076.90/53,318.53
  6. Step 6: Final answer
    x = 285,756.09

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.