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Finding the Third Proportional to 53,647 and 83,113

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Solution

The third proportional to 53,647 and 83,113 is: 128,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,647 : 83,113 = 83,113 : x
  2. Step 2: Convert to fraction form
    53,647/83,113 = 83,113/x
  3. Step 3: Cross multiply
    53,647x = 83,113 × 83,113
  4. Step 4: Simplify right side
    53,647x = 6,907,770,769
  5. Step 5: Solve for x
    x = 6,907,770,769/53,647
  6. Step 6: Final answer
    x = 128,763.41

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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.