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Finding the Third Proportional to 53,923.13 and 115,652.63

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Solution

The third proportional to 53,923.13 and 115,652.63 is: 248,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,923.13 : 115,652.63 = 115,652.63 : x
  2. Step 2: Convert to fraction form
    53,923.13/115,652.63 = 115,652.63/x
  3. Step 3: Cross multiply
    53,923.13x = 115,652.63 × 115,652.63
  4. Step 4: Simplify right side
    53,923.13x = 13,375,529,669.39
  5. Step 5: Solve for x
    x = 13,375,529,669.39/53,923.13
  6. Step 6: Final answer
    x = 248,048.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.