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Finding the Third Proportional to 59,836 and 92,913

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Solution

The third proportional to 59,836 and 92,913 is: 144,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,836 : 92,913 = 92,913 : x
  2. Step 2: Convert to fraction form
    59,836/92,913 = 92,913/x
  3. Step 3: Cross multiply
    59,836x = 92,913 × 92,913
  4. Step 4: Simplify right side
    59,836x = 8,632,825,569
  5. Step 5: Solve for x
    x = 8,632,825,569/59,836
  6. Step 6: Final answer
    x = 144,274.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.