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Finding the Third Proportional to 107,705 and 178,883

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Solution

The third proportional to 107,705 and 178,883 is: 297,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,705 : 178,883 = 178,883 : x
  2. Step 2: Convert to fraction form
    107,705/178,883 = 178,883/x
  3. Step 3: Cross multiply
    107,705x = 178,883 × 178,883
  4. Step 4: Simplify right side
    107,705x = 31,999,127,689
  5. Step 5: Solve for x
    x = 31,999,127,689/107,705
  6. Step 6: Final answer
    x = 297,099.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.