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Finding the Third Proportional to 111,946 and 155,158

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Solution

The third proportional to 111,946 and 155,158 is: 215,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,946 : 155,158 = 155,158 : x
  2. Step 2: Convert to fraction form
    111,946/155,158 = 155,158/x
  3. Step 3: Cross multiply
    111,946x = 155,158 × 155,158
  4. Step 4: Simplify right side
    111,946x = 24,074,004,964
  5. Step 5: Solve for x
    x = 24,074,004,964/111,946
  6. Step 6: Final answer
    x = 215,050.16

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.