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Finding the Third Proportional to 52,541 and 114,013

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Solution

The third proportional to 52,541 and 114,013 is: 247,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,541 : 114,013 = 114,013 : x
  2. Step 2: Convert to fraction form
    52,541/114,013 = 114,013/x
  3. Step 3: Cross multiply
    52,541x = 114,013 × 114,013
  4. Step 4: Simplify right side
    52,541x = 12,998,964,169
  5. Step 5: Solve for x
    x = 12,998,964,169/52,541
  6. Step 6: Final answer
    x = 247,406.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.