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Finding the Third Proportional to 53,838 and 117,006.75

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Solution

The third proportional to 53,838 and 117,006.75 is: 254,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838 : 117,006.75 = 117,006.75 : x
  2. Step 2: Convert to fraction form
    53,838/117,006.75 = 117,006.75/x
  3. Step 3: Cross multiply
    53,838x = 117,006.75 × 117,006.75
  4. Step 4: Simplify right side
    53,838x = 13,690,579,545.56
  5. Step 5: Solve for x
    x = 13,690,579,545.56/53,838
  6. Step 6: Final answer
    x = 254,292.13

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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.