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Finding the Third Proportional to 53,025.38 and 114,353.06

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Solution

The third proportional to 53,025.38 and 114,353.06 is: 246,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,025.38 : 114,353.06 = 114,353.06 : x
  2. Step 2: Convert to fraction form
    53,025.38/114,353.06 = 114,353.06/x
  3. Step 3: Cross multiply
    53,025.38x = 114,353.06 × 114,353.06
  4. Step 4: Simplify right side
    53,025.38x = 13,076,622,903.13
  5. Step 5: Solve for x
    x = 13,076,622,903.13/53,025.38
  6. Step 6: Final answer
    x = 246,610.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.