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Finding the Third Proportional to 143,731 and 164,490

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Solution

The third proportional to 143,731 and 164,490 is: 188,247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,731 : 164,490 = 164,490 : x
  2. Step 2: Convert to fraction form
    143,731/164,490 = 164,490/x
  3. Step 3: Cross multiply
    143,731x = 164,490 × 164,490
  4. Step 4: Simplify right side
    143,731x = 27,056,960,100
  5. Step 5: Solve for x
    x = 27,056,960,100/143,731
  6. Step 6: Final answer
    x = 188,247.21

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.