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Finding the Third Proportional to 112,138 and 186,887

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Solution

The third proportional to 112,138 and 186,887 is: 311,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,138 : 186,887 = 186,887 : x
  2. Step 2: Convert to fraction form
    112,138/186,887 = 186,887/x
  3. Step 3: Cross multiply
    112,138x = 186,887 × 186,887
  4. Step 4: Simplify right side
    112,138x = 34,926,750,769
  5. Step 5: Solve for x
    x = 34,926,750,769/112,138
  6. Step 6: Final answer
    x = 311,462.22

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.