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Finding the Third Proportional to 28,210 and 60,109

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Solution

The third proportional to 28,210 and 60,109 is: 128,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,210 : 60,109 = 60,109 : x
  2. Step 2: Convert to fraction form
    28,210/60,109 = 60,109/x
  3. Step 3: Cross multiply
    28,210x = 60,109 × 60,109
  4. Step 4: Simplify right side
    28,210x = 3,613,091,881
  5. Step 5: Solve for x
    x = 3,613,091,881/28,210
  6. Step 6: Final answer
    x = 128,078.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.