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Finding the Third Proportional to 54,643.50 and 118,764

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Solution

The third proportional to 54,643.50 and 118,764 is: 258,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,643.50 : 118,764 = 118,764 : x
  2. Step 2: Convert to fraction form
    54,643.50/118,764 = 118,764/x
  3. Step 3: Cross multiply
    54,643.50x = 118,764 × 118,764
  4. Step 4: Simplify right side
    54,643.50x = 14,104,887,696
  5. Step 5: Solve for x
    x = 14,104,887,696/54,643.50
  6. Step 6: Final answer
    x = 258,125.63

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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.