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Finding the Third Proportional to 58,982.25 and 93,816.75

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Solution

The third proportional to 58,982.25 and 93,816.75 is: 149,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,982.25 : 93,816.75 = 93,816.75 : x
  2. Step 2: Convert to fraction form
    58,982.25/93,816.75 = 93,816.75/x
  3. Step 3: Cross multiply
    58,982.25x = 93,816.75 × 93,816.75
  4. Step 4: Simplify right side
    58,982.25x = 8,801,582,580.56
  5. Step 5: Solve for x
    x = 8,801,582,580.56/58,982.25
  6. Step 6: Final answer
    x = 149,224.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.