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Finding the Third Proportional to 105,826.50 and 162,111.38

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Solution

The third proportional to 105,826.50 and 162,111.38 is: 248,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,826.50 : 162,111.38 = 162,111.38 : x
  2. Step 2: Convert to fraction form
    105,826.50/162,111.38 = 162,111.38/x
  3. Step 3: Cross multiply
    105,826.50x = 162,111.38 × 162,111.38
  4. Step 4: Simplify right side
    105,826.50x = 26,280,097,904.39
  5. Step 5: Solve for x
    x = 26,280,097,904.39/105,826.50
  6. Step 6: Final answer
    x = 248,331.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.