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Finding the Third Proportional to 53,228 and 74,009

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Solution

The third proportional to 53,228 and 74,009 is: 102,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,228 : 74,009 = 74,009 : x
  2. Step 2: Convert to fraction form
    53,228/74,009 = 74,009/x
  3. Step 3: Cross multiply
    53,228x = 74,009 × 74,009
  4. Step 4: Simplify right side
    53,228x = 5,477,332,081
  5. Step 5: Solve for x
    x = 5,477,332,081/53,228
  6. Step 6: Final answer
    x = 102,903.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.