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Finding the Third Proportional to 55,106.50 and 81,849.50

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Solution

The third proportional to 55,106.50 and 81,849.50 is: 121,570.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,106.50 : 81,849.50 = 81,849.50 : x
  2. Step 2: Convert to fraction form
    55,106.50/81,849.50 = 81,849.50/x
  3. Step 3: Cross multiply
    55,106.50x = 81,849.50 × 81,849.50
  4. Step 4: Simplify right side
    55,106.50x = 6,699,340,650.25
  5. Step 5: Solve for x
    x = 6,699,340,650.25/55,106.50
  6. Step 6: Final answer
    x = 121,570.79

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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.