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Finding the Third Proportional to 53,617.57 and 114,359.98

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Solution

The third proportional to 53,617.57 and 114,359.98 is: 243,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,617.57 : 114,359.98 = 114,359.98 : x
  2. Step 2: Convert to fraction form
    53,617.57/114,359.98 = 114,359.98/x
  3. Step 3: Cross multiply
    53,617.57x = 114,359.98 × 114,359.98
  4. Step 4: Simplify right side
    53,617.57x = 13,078,204,239.38
  5. Step 5: Solve for x
    x = 13,078,204,239.38/53,617.57
  6. Step 6: Final answer
    x = 243,916.39

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