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Finding the Third Proportional to 80,140 and 120,222

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Solution

The third proportional to 80,140 and 120,222 is: 180,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,140 : 120,222 = 120,222 : x
  2. Step 2: Convert to fraction form
    80,140/120,222 = 120,222/x
  3. Step 3: Cross multiply
    80,140x = 120,222 × 120,222
  4. Step 4: Simplify right side
    80,140x = 14,453,329,284
  5. Step 5: Solve for x
    x = 14,453,329,284/80,140
  6. Step 6: Final answer
    x = 180,351.00

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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.