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Finding the Third Proportional to 57,088 and 117,248

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Solution

The third proportional to 57,088 and 117,248 is: 240,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,088 : 117,248 = 117,248 : x
  2. Step 2: Convert to fraction form
    57,088/117,248 = 117,248/x
  3. Step 3: Cross multiply
    57,088x = 117,248 × 117,248
  4. Step 4: Simplify right side
    57,088x = 13,747,093,504
  5. Step 5: Solve for x
    x = 13,747,093,504/57,088
  6. Step 6: Final answer
    x = 240,805.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.