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Finding the Third Proportional to 53,976 and 83,790

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Solution

The third proportional to 53,976 and 83,790 is: 130,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,976 : 83,790 = 83,790 : x
  2. Step 2: Convert to fraction form
    53,976/83,790 = 83,790/x
  3. Step 3: Cross multiply
    53,976x = 83,790 × 83,790
  4. Step 4: Simplify right side
    53,976x = 7,020,764,100
  5. Step 5: Solve for x
    x = 7,020,764,100/53,976
  6. Step 6: Final answer
    x = 130,071.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.