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Finding the Third Proportional to 52,045.10 and 111,983.91

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Solution

The third proportional to 52,045.10 and 111,983.91 is: 240,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,045.10 : 111,983.91 = 111,983.91 : x
  2. Step 2: Convert to fraction form
    52,045.10/111,983.91 = 111,983.91/x
  3. Step 3: Cross multiply
    52,045.10x = 111,983.91 × 111,983.91
  4. Step 4: Simplify right side
    52,045.10x = 12,540,395,259.01
  5. Step 5: Solve for x
    x = 12,540,395,259.01/52,045.10
  6. Step 6: Final answer
    x = 240,952.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.