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Finding the Third Proportional to 53,399.25 and 113,700.38

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Solution

The third proportional to 53,399.25 and 113,700.38 is: 242,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,399.25 : 113,700.38 = 113,700.38 : x
  2. Step 2: Convert to fraction form
    53,399.25/113,700.38 = 113,700.38/x
  3. Step 3: Cross multiply
    53,399.25x = 113,700.38 × 113,700.38
  4. Step 4: Simplify right side
    53,399.25x = 12,927,775,275.14
  5. Step 5: Solve for x
    x = 12,927,775,275.14/53,399.25
  6. Step 6: Final answer
    x = 242,096.57

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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.