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Finding the Third Proportional to 52,556.63 and 114,894

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Solution

The third proportional to 52,556.63 and 114,894 is: 251,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,556.63 : 114,894 = 114,894 : x
  2. Step 2: Convert to fraction form
    52,556.63/114,894 = 114,894/x
  3. Step 3: Cross multiply
    52,556.63x = 114,894 × 114,894
  4. Step 4: Simplify right side
    52,556.63x = 13,200,631,236
  5. Step 5: Solve for x
    x = 13,200,631,236/52,556.63
  6. Step 6: Final answer
    x = 251,169.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.