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Finding the Third Proportional to 81,083 and 167,370

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Solution

The third proportional to 81,083 and 167,370 is: 345,482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,083 : 167,370 = 167,370 : x
  2. Step 2: Convert to fraction form
    81,083/167,370 = 167,370/x
  3. Step 3: Cross multiply
    81,083x = 167,370 × 167,370
  4. Step 4: Simplify right side
    81,083x = 28,012,716,900
  5. Step 5: Solve for x
    x = 28,012,716,900/81,083
  6. Step 6: Final answer
    x = 345,482.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.