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Finding the Third Proportional to 55,353.38 and 114,646.13

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Solution

The third proportional to 55,353.38 and 114,646.13 is: 237,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,353.38 : 114,646.13 = 114,646.13 : x
  2. Step 2: Convert to fraction form
    55,353.38/114,646.13 = 114,646.13/x
  3. Step 3: Cross multiply
    55,353.38x = 114,646.13 × 114,646.13
  4. Step 4: Simplify right side
    55,353.38x = 13,143,733,977.52
  5. Step 5: Solve for x
    x = 13,143,733,977.52/55,353.38
  6. Step 6: Final answer
    x = 237,451.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.