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Finding the Third Proportional to 58,235.50 and 82,414.50

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Solution

The third proportional to 58,235.50 and 82,414.50 is: 116,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,235.50 : 82,414.50 = 82,414.50 : x
  2. Step 2: Convert to fraction form
    58,235.50/82,414.50 = 82,414.50/x
  3. Step 3: Cross multiply
    58,235.50x = 82,414.50 × 82,414.50
  4. Step 4: Simplify right side
    58,235.50x = 6,792,149,810.25
  5. Step 5: Solve for x
    x = 6,792,149,810.25/58,235.50
  6. Step 6: Final answer
    x = 116,632.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.