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Finding the Third Proportional to 111,382 and 160,927

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Solution

The third proportional to 111,382 and 160,927 is: 232,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,382 : 160,927 = 160,927 : x
  2. Step 2: Convert to fraction form
    111,382/160,927 = 160,927/x
  3. Step 3: Cross multiply
    111,382x = 160,927 × 160,927
  4. Step 4: Simplify right side
    111,382x = 25,897,499,329
  5. Step 5: Solve for x
    x = 25,897,499,329/111,382
  6. Step 6: Final answer
    x = 232,510.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.