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Finding the Third Proportional to 53,006.91 and 125,033.06

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Solution

The third proportional to 53,006.91 and 125,033.06 is: 294,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006.91 : 125,033.06 = 125,033.06 : x
  2. Step 2: Convert to fraction form
    53,006.91/125,033.06 = 125,033.06/x
  3. Step 3: Cross multiply
    53,006.91x = 125,033.06 × 125,033.06
  4. Step 4: Simplify right side
    53,006.91x = 15,633,266,718.13
  5. Step 5: Solve for x
    x = 15,633,266,718.13/53,006.91
  6. Step 6: Final answer
    x = 294,928.87

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.