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Finding the Third Proportional to 53,497.13 and 113,524.88

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Solution

The third proportional to 53,497.13 and 113,524.88 is: 240,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,497.13 : 113,524.88 = 113,524.88 : x
  2. Step 2: Convert to fraction form
    53,497.13/113,524.88 = 113,524.88/x
  3. Step 3: Cross multiply
    53,497.13x = 113,524.88 × 113,524.88
  4. Step 4: Simplify right side
    53,497.13x = 12,887,897,243.77
  5. Step 5: Solve for x
    x = 12,887,897,243.77/53,497.13
  6. Step 6: Final answer
    x = 240,908.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.