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Finding the Third Proportional to 53,269.88 and 114,022.13

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Solution

The third proportional to 53,269.88 and 114,022.13 is: 244,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,269.88 : 114,022.13 = 114,022.13 : x
  2. Step 2: Convert to fraction form
    53,269.88/114,022.13 = 114,022.13/x
  3. Step 3: Cross multiply
    53,269.88x = 114,022.13 × 114,022.13
  4. Step 4: Simplify right side
    53,269.88x = 13,001,044,989.52
  5. Step 5: Solve for x
    x = 13,001,044,989.52/53,269.88
  6. Step 6: Final answer
    x = 244,059.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.