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Finding the Third Proportional to 53,823 and 117,117

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Solution

The third proportional to 53,823 and 117,117 is: 254,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,823 : 117,117 = 117,117 : x
  2. Step 2: Convert to fraction form
    53,823/117,117 = 117,117/x
  3. Step 3: Cross multiply
    53,823x = 117,117 × 117,117
  4. Step 4: Simplify right side
    53,823x = 13,716,391,689
  5. Step 5: Solve for x
    x = 13,716,391,689/53,823
  6. Step 6: Final answer
    x = 254,842.57

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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.