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Finding the Third Proportional to 53,209.41 and 80,205.19

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Solution

The third proportional to 53,209.41 and 80,205.19 is: 120,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,209.41 : 80,205.19 = 80,205.19 : x
  2. Step 2: Convert to fraction form
    53,209.41/80,205.19 = 80,205.19/x
  3. Step 3: Cross multiply
    53,209.41x = 80,205.19 × 80,205.19
  4. Step 4: Simplify right side
    53,209.41x = 6,432,872,101.91
  5. Step 5: Solve for x
    x = 6,432,872,101.91/53,209.41
  6. Step 6: Final answer
    x = 120,897.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.