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Finding the Third Proportional to 114,113 and 167,938

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Solution

The third proportional to 114,113 and 167,938 is: 247,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,113 : 167,938 = 167,938 : x
  2. Step 2: Convert to fraction form
    114,113/167,938 = 167,938/x
  3. Step 3: Cross multiply
    114,113x = 167,938 × 167,938
  4. Step 4: Simplify right side
    114,113x = 28,203,171,844
  5. Step 5: Solve for x
    x = 28,203,171,844/114,113
  6. Step 6: Final answer
    x = 247,151.26

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.