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Finding the Third Proportional to 112,986 and 166,023

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Solution

The third proportional to 112,986 and 166,023 is: 243,956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,986 : 166,023 = 166,023 : x
  2. Step 2: Convert to fraction form
    112,986/166,023 = 166,023/x
  3. Step 3: Cross multiply
    112,986x = 166,023 × 166,023
  4. Step 4: Simplify right side
    112,986x = 27,563,636,529
  5. Step 5: Solve for x
    x = 27,563,636,529/112,986
  6. Step 6: Final answer
    x = 243,956.21

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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.