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Finding the Third Proportional to 103,621.50 and 185,922

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Solution

The third proportional to 103,621.50 and 185,922 is: 333,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621.50 : 185,922 = 185,922 : x
  2. Step 2: Convert to fraction form
    103,621.50/185,922 = 185,922/x
  3. Step 3: Cross multiply
    103,621.50x = 185,922 × 185,922
  4. Step 4: Simplify right side
    103,621.50x = 34,566,990,084
  5. Step 5: Solve for x
    x = 34,566,990,084/103,621.50
  6. Step 6: Final answer
    x = 333,588.98

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.