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Finding the Third Proportional to 53,048.25 and 76,717.13

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Solution

The third proportional to 53,048.25 and 76,717.13 is: 110,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,048.25 : 76,717.13 = 76,717.13 : x
  2. Step 2: Convert to fraction form
    53,048.25/76,717.13 = 76,717.13/x
  3. Step 3: Cross multiply
    53,048.25x = 76,717.13 × 76,717.13
  4. Step 4: Simplify right side
    53,048.25x = 5,885,517,268.27
  5. Step 5: Solve for x
    x = 5,885,517,268.27/53,048.25
  6. Step 6: Final answer
    x = 110,946.49

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.