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Finding the Third Proportional to 73,485 and 110,065.50

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Solution

The third proportional to 73,485 and 110,065.50 is: 164,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,485 : 110,065.50 = 110,065.50 : x
  2. Step 2: Convert to fraction form
    73,485/110,065.50 = 110,065.50/x
  3. Step 3: Cross multiply
    73,485x = 110,065.50 × 110,065.50
  4. Step 4: Simplify right side
    73,485x = 12,114,414,290.25
  5. Step 5: Solve for x
    x = 12,114,414,290.25/73,485
  6. Step 6: Final answer
    x = 164,855.61

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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.