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Finding the Third Proportional to 53,582 and 80,199

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Solution

The third proportional to 53,582 and 80,199 is: 120,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,582 : 80,199 = 80,199 : x
  2. Step 2: Convert to fraction form
    53,582/80,199 = 80,199/x
  3. Step 3: Cross multiply
    53,582x = 80,199 × 80,199
  4. Step 4: Simplify right side
    53,582x = 6,431,879,601
  5. Step 5: Solve for x
    x = 6,431,879,601/53,582
  6. Step 6: Final answer
    x = 120,038.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.