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Finding the Third Proportional to 60,200 and 93,162

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Solution

The third proportional to 60,200 and 93,162 is: 144,172.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,200 : 93,162 = 93,162 : x
  2. Step 2: Convert to fraction form
    60,200/93,162 = 93,162/x
  3. Step 3: Cross multiply
    60,200x = 93,162 × 93,162
  4. Step 4: Simplify right side
    60,200x = 8,679,158,244
  5. Step 5: Solve for x
    x = 8,679,158,244/60,200
  6. Step 6: Final answer
    x = 144,172.06

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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.