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Finding the Third Proportional to 58,125.75 and 82,270.50

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Solution

The third proportional to 58,125.75 and 82,270.50 is: 116,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,125.75 : 82,270.50 = 82,270.50 : x
  2. Step 2: Convert to fraction form
    58,125.75/82,270.50 = 82,270.50/x
  3. Step 3: Cross multiply
    58,125.75x = 82,270.50 × 82,270.50
  4. Step 4: Simplify right side
    58,125.75x = 6,768,435,170.25
  5. Step 5: Solve for x
    x = 6,768,435,170.25/58,125.75
  6. Step 6: Final answer
    x = 116,444.69

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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.