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Finding the Third Proportional to 53,250 and 113,620

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Solution

The third proportional to 53,250 and 113,620 is: 242,432.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,250 : 113,620 = 113,620 : x
  2. Step 2: Convert to fraction form
    53,250/113,620 = 113,620/x
  3. Step 3: Cross multiply
    53,250x = 113,620 × 113,620
  4. Step 4: Simplify right side
    53,250x = 12,909,504,400
  5. Step 5: Solve for x
    x = 12,909,504,400/53,250
  6. Step 6: Final answer
    x = 242,432.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.