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Finding the Third Proportional to 58,054.50 and 86,865.75

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Solution

The third proportional to 58,054.50 and 86,865.75 is: 129,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,054.50 : 86,865.75 = 86,865.75 : x
  2. Step 2: Convert to fraction form
    58,054.50/86,865.75 = 86,865.75/x
  3. Step 3: Cross multiply
    58,054.50x = 86,865.75 × 86,865.75
  4. Step 4: Simplify right side
    58,054.50x = 7,545,658,523.06
  5. Step 5: Solve for x
    x = 7,545,658,523.06/58,054.50
  6. Step 6: Final answer
    x = 129,975.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.