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Finding the Third Proportional to 52,888 and 114,992

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Solution

The third proportional to 52,888 and 114,992 is: 250,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,888 : 114,992 = 114,992 : x
  2. Step 2: Convert to fraction form
    52,888/114,992 = 114,992/x
  3. Step 3: Cross multiply
    52,888x = 114,992 × 114,992
  4. Step 4: Simplify right side
    52,888x = 13,223,160,064
  5. Step 5: Solve for x
    x = 13,223,160,064/52,888
  6. Step 6: Final answer
    x = 250,021.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.