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Finding the Third Proportional to 105,940.69 and 157,078.13

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Solution

The third proportional to 105,940.69 and 157,078.13 is: 232,899.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,940.69 : 157,078.13 = 157,078.13 : x
  2. Step 2: Convert to fraction form
    105,940.69/157,078.13 = 157,078.13/x
  3. Step 3: Cross multiply
    105,940.69x = 157,078.13 × 157,078.13
  4. Step 4: Simplify right side
    105,940.69x = 24,673,537,353.52
  5. Step 5: Solve for x
    x = 24,673,537,353.52/105,940.69
  6. Step 6: Final answer
    x = 232,899.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.