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Finding the Third Proportional to 53,607.13 and 114,339.09

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Solution

The third proportional to 53,607.13 and 114,339.09 is: 243,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,607.13 : 114,339.09 = 114,339.09 : x
  2. Step 2: Convert to fraction form
    53,607.13/114,339.09 = 114,339.09/x
  3. Step 3: Cross multiply
    53,607.13x = 114,339.09 × 114,339.09
  4. Step 4: Simplify right side
    53,607.13x = 13,073,428,359.57
  5. Step 5: Solve for x
    x = 13,073,428,359.57/53,607.13
  6. Step 6: Final answer
    x = 243,874.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.