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Finding the Third Proportional to 131,726 and 202,511

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Solution

The third proportional to 131,726 and 202,511 is: 311,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,726 : 202,511 = 202,511 : x
  2. Step 2: Convert to fraction form
    131,726/202,511 = 202,511/x
  3. Step 3: Cross multiply
    131,726x = 202,511 × 202,511
  4. Step 4: Simplify right side
    131,726x = 41,010,705,121
  5. Step 5: Solve for x
    x = 41,010,705,121/131,726
  6. Step 6: Final answer
    x = 311,333.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.