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Finding the Third Proportional to 53,619.38 and 117,813.75

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Solution

The third proportional to 53,619.38 and 117,813.75 is: 258,863.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,619.38 : 117,813.75 = 117,813.75 : x
  2. Step 2: Convert to fraction form
    53,619.38/117,813.75 = 117,813.75/x
  3. Step 3: Cross multiply
    53,619.38x = 117,813.75 × 117,813.75
  4. Step 4: Simplify right side
    53,619.38x = 13,880,079,689.06
  5. Step 5: Solve for x
    x = 13,880,079,689.06/53,619.38
  6. Step 6: Final answer
    x = 258,863.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.