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Finding the Third Proportional to 131,006 and 202,913

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Solution

The third proportional to 131,006 and 202,913 is: 314,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,006 : 202,913 = 202,913 : x
  2. Step 2: Convert to fraction form
    131,006/202,913 = 202,913/x
  3. Step 3: Cross multiply
    131,006x = 202,913 × 202,913
  4. Step 4: Simplify right side
    131,006x = 41,173,685,569
  5. Step 5: Solve for x
    x = 41,173,685,569/131,006
  6. Step 6: Final answer
    x = 314,288.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.