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Finding the Third Proportional to 54,230.77 and 117,482.91

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Solution

The third proportional to 54,230.77 and 117,482.91 is: 254,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,230.77 : 117,482.91 = 117,482.91 : x
  2. Step 2: Convert to fraction form
    54,230.77/117,482.91 = 117,482.91/x
  3. Step 3: Cross multiply
    54,230.77x = 117,482.91 × 117,482.91
  4. Step 4: Simplify right side
    54,230.77x = 13,802,233,260.95
  5. Step 5: Solve for x
    x = 13,802,233,260.95/54,230.77
  6. Step 6: Final answer
    x = 254,509.28

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Why These Related Problems?

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