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Finding the Third Proportional to 139,142 and 211,368

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Solution

The third proportional to 139,142 and 211,368 is: 321,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,142 : 211,368 = 211,368 : x
  2. Step 2: Convert to fraction form
    139,142/211,368 = 211,368/x
  3. Step 3: Cross multiply
    139,142x = 211,368 × 211,368
  4. Step 4: Simplify right side
    139,142x = 44,676,431,424
  5. Step 5: Solve for x
    x = 44,676,431,424/139,142
  6. Step 6: Final answer
    x = 321,085.16

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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.