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Finding the Third Proportional to 53,689.50 and 114,313.50

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Solution

The third proportional to 53,689.50 and 114,313.50 is: 243,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,689.50 : 114,313.50 = 114,313.50 : x
  2. Step 2: Convert to fraction form
    53,689.50/114,313.50 = 114,313.50/x
  3. Step 3: Cross multiply
    53,689.50x = 114,313.50 × 114,313.50
  4. Step 4: Simplify right side
    53,689.50x = 13,067,576,282.25
  5. Step 5: Solve for x
    x = 13,067,576,282.25/53,689.50
  6. Step 6: Final answer
    x = 243,391.66

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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.