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Finding the Third Proportional to 139,246 and 202,913

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Solution

The third proportional to 139,246 and 202,913 is: 295,690.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,246 : 202,913 = 202,913 : x
  2. Step 2: Convert to fraction form
    139,246/202,913 = 202,913/x
  3. Step 3: Cross multiply
    139,246x = 202,913 × 202,913
  4. Step 4: Simplify right side
    139,246x = 41,173,685,569
  5. Step 5: Solve for x
    x = 41,173,685,569/139,246
  6. Step 6: Final answer
    x = 295,690.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.