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Finding the Third Proportional to 53,809.75 and 83,790.25

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Solution

The third proportional to 53,809.75 and 83,790.25 is: 130,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,809.75 : 83,790.25 = 83,790.25 : x
  2. Step 2: Convert to fraction form
    53,809.75/83,790.25 = 83,790.25/x
  3. Step 3: Cross multiply
    53,809.75x = 83,790.25 × 83,790.25
  4. Step 4: Simplify right side
    53,809.75x = 7,020,805,995.06
  5. Step 5: Solve for x
    x = 7,020,805,995.06/53,809.75
  6. Step 6: Final answer
    x = 130,474.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.