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Finding the Third Proportional to 58,124.06 and 82,268.16

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Solution

The third proportional to 58,124.06 and 82,268.16 is: 116,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,124.06 : 82,268.16 = 82,268.16 : x
  2. Step 2: Convert to fraction form
    58,124.06/82,268.16 = 82,268.16/x
  3. Step 3: Cross multiply
    58,124.06x = 82,268.16 × 82,268.16
  4. Step 4: Simplify right side
    58,124.06x = 6,768,049,532.77
  5. Step 5: Solve for x
    x = 6,768,049,532.77/58,124.06
  6. Step 6: Final answer
    x = 116,441.44

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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.