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Finding the Third Proportional to 139,290 and 212,201

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Solution

The third proportional to 139,290 and 212,201 is: 323,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,290 : 212,201 = 212,201 : x
  2. Step 2: Convert to fraction form
    139,290/212,201 = 212,201/x
  3. Step 3: Cross multiply
    139,290x = 212,201 × 212,201
  4. Step 4: Simplify right side
    139,290x = 45,029,264,401
  5. Step 5: Solve for x
    x = 45,029,264,401/139,290
  6. Step 6: Final answer
    x = 323,277.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.