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Finding the Third Proportional to 53,788 and 117,176

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Solution

The third proportional to 53,788 and 117,176 is: 255,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,788 : 117,176 = 117,176 : x
  2. Step 2: Convert to fraction form
    53,788/117,176 = 117,176/x
  3. Step 3: Cross multiply
    53,788x = 117,176 × 117,176
  4. Step 4: Simplify right side
    53,788x = 13,730,214,976
  5. Step 5: Solve for x
    x = 13,730,214,976/53,788
  6. Step 6: Final answer
    x = 255,265.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.