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Finding the Third Proportional to 55,796 and 115,454

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Solution

The third proportional to 55,796 and 115,454 is: 238,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,796 : 115,454 = 115,454 : x
  2. Step 2: Convert to fraction form
    55,796/115,454 = 115,454/x
  3. Step 3: Cross multiply
    55,796x = 115,454 × 115,454
  4. Step 4: Simplify right side
    55,796x = 13,329,626,116
  5. Step 5: Solve for x
    x = 13,329,626,116/55,796
  6. Step 6: Final answer
    x = 238,899.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.