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Finding the Third Proportional to 59,206 and 92,020

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Solution

The third proportional to 59,206 and 92,020 is: 143,020.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,206 : 92,020 = 92,020 : x
  2. Step 2: Convert to fraction form
    59,206/92,020 = 92,020/x
  3. Step 3: Cross multiply
    59,206x = 92,020 × 92,020
  4. Step 4: Simplify right side
    59,206x = 8,467,680,400
  5. Step 5: Solve for x
    x = 8,467,680,400/59,206
  6. Step 6: Final answer
    x = 143,020.65

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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.