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Finding the Third Proportional to 28,121 and 61,162.50

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Solution

The third proportional to 28,121 and 61,162.50 is: 133,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,121 : 61,162.50 = 61,162.50 : x
  2. Step 2: Convert to fraction form
    28,121/61,162.50 = 61,162.50/x
  3. Step 3: Cross multiply
    28,121x = 61,162.50 × 61,162.50
  4. Step 4: Simplify right side
    28,121x = 3,740,851,406.25
  5. Step 5: Solve for x
    x = 3,740,851,406.25/28,121
  6. Step 6: Final answer
    x = 133,026.97

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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.