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Finding the Third Proportional to 28,234 and 61,121

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Solution

The third proportional to 28,234 and 61,121 is: 132,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234 : 61,121 = 61,121 : x
  2. Step 2: Convert to fraction form
    28,234/61,121 = 61,121/x
  3. Step 3: Cross multiply
    28,234x = 61,121 × 61,121
  4. Step 4: Simplify right side
    28,234x = 3,735,776,641
  5. Step 5: Solve for x
    x = 3,735,776,641/28,234
  6. Step 6: Final answer
    x = 132,314.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.