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Finding the Third Proportional to 54,155 and 80,783

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Solution

The third proportional to 54,155 and 80,783 is: 120,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,155 : 80,783 = 80,783 : x
  2. Step 2: Convert to fraction form
    54,155/80,783 = 80,783/x
  3. Step 3: Cross multiply
    54,155x = 80,783 × 80,783
  4. Step 4: Simplify right side
    54,155x = 6,525,893,089
  5. Step 5: Solve for x
    x = 6,525,893,089/54,155
  6. Step 6: Final answer
    x = 120,503.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.