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Finding the Third Proportional to 100,903 and 137,095

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Solution

The third proportional to 100,903 and 137,095 is: 186,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,903 : 137,095 = 137,095 : x
  2. Step 2: Convert to fraction form
    100,903/137,095 = 137,095/x
  3. Step 3: Cross multiply
    100,903x = 137,095 × 137,095
  4. Step 4: Simplify right side
    100,903x = 18,795,039,025
  5. Step 5: Solve for x
    x = 18,795,039,025/100,903
  6. Step 6: Final answer
    x = 186,268.39

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.