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Finding the Third Proportional to 111,051 and 162,427.78

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Solution

The third proportional to 111,051 and 162,427.78 is: 237,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,051 : 162,427.78 = 162,427.78 : x
  2. Step 2: Convert to fraction form
    111,051/162,427.78 = 162,427.78/x
  3. Step 3: Cross multiply
    111,051x = 162,427.78 × 162,427.78
  4. Step 4: Simplify right side
    111,051x = 26,382,784,121.80
  5. Step 5: Solve for x
    x = 26,382,784,121.80/111,051
  6. Step 6: Final answer
    x = 237,573.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.