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Finding the Third Proportional to 58,235.06 and 82,414.13

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Solution

The third proportional to 58,235.06 and 82,414.13 is: 116,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,235.06 : 82,414.13 = 82,414.13 : x
  2. Step 2: Convert to fraction form
    58,235.06/82,414.13 = 82,414.13/x
  3. Step 3: Cross multiply
    58,235.06x = 82,414.13 × 82,414.13
  4. Step 4: Simplify right side
    58,235.06x = 6,792,087,999.52
  5. Step 5: Solve for x
    x = 6,792,087,999.52/58,235.06
  6. Step 6: Final answer
    x = 116,632.28

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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.