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Finding the Third Proportional to 69,106.50 and 149,121

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Solution

The third proportional to 69,106.50 and 149,121 is: 321,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,106.50 : 149,121 = 149,121 : x
  2. Step 2: Convert to fraction form
    69,106.50/149,121 = 149,121/x
  3. Step 3: Cross multiply
    69,106.50x = 149,121 × 149,121
  4. Step 4: Simplify right side
    69,106.50x = 22,237,072,641
  5. Step 5: Solve for x
    x = 22,237,072,641/69,106.50
  6. Step 6: Final answer
    x = 321,779.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.