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Finding the Third Proportional to 124,421 and 188,936

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Solution

The third proportional to 124,421 and 188,936 is: 286,903.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,421 : 188,936 = 188,936 : x
  2. Step 2: Convert to fraction form
    124,421/188,936 = 188,936/x
  3. Step 3: Cross multiply
    124,421x = 188,936 × 188,936
  4. Step 4: Simplify right side
    124,421x = 35,696,812,096
  5. Step 5: Solve for x
    x = 35,696,812,096/124,421
  6. Step 6: Final answer
    x = 286,903.43

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.