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Finding the Third Proportional to 53,417.25 and 113,983.88

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Solution

The third proportional to 53,417.25 and 113,983.88 is: 243,223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,417.25 : 113,983.88 = 113,983.88 : x
  2. Step 2: Convert to fraction form
    53,417.25/113,983.88 = 113,983.88/x
  3. Step 3: Cross multiply
    53,417.25x = 113,983.88 × 113,983.88
  4. Step 4: Simplify right side
    53,417.25x = 12,992,323,760.02
  5. Step 5: Solve for x
    x = 12,992,323,760.02/53,417.25
  6. Step 6: Final answer
    x = 243,223.37

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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.