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Finding the Third Proportional to 53,022.38 and 77,751.56

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Solution

The third proportional to 53,022.38 and 77,751.56 is: 114,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,022.38 : 77,751.56 = 77,751.56 : x
  2. Step 2: Convert to fraction form
    53,022.38/77,751.56 = 77,751.56/x
  3. Step 3: Cross multiply
    53,022.38x = 77,751.56 × 77,751.56
  4. Step 4: Simplify right side
    53,022.38x = 6,045,305,471.19
  5. Step 5: Solve for x
    x = 6,045,305,471.19/53,022.38
  6. Step 6: Final answer
    x = 114,014.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.