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Finding the Third Proportional to 53,829 and 115,020

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Solution

The third proportional to 53,829 and 115,020 is: 245,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,829 : 115,020 = 115,020 : x
  2. Step 2: Convert to fraction form
    53,829/115,020 = 115,020/x
  3. Step 3: Cross multiply
    53,829x = 115,020 × 115,020
  4. Step 4: Simplify right side
    53,829x = 13,229,600,400
  5. Step 5: Solve for x
    x = 13,229,600,400/53,829
  6. Step 6: Final answer
    x = 245,770.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.