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Finding the Third Proportional to 53,028 and 114,360.75

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Solution

The third proportional to 53,028 and 114,360.75 is: 246,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,028 : 114,360.75 = 114,360.75 : x
  2. Step 2: Convert to fraction form
    53,028/114,360.75 = 114,360.75/x
  3. Step 3: Cross multiply
    53,028x = 114,360.75 × 114,360.75
  4. Step 4: Simplify right side
    53,028x = 13,078,381,140.56
  5. Step 5: Solve for x
    x = 13,078,381,140.56/53,028
  6. Step 6: Final answer
    x = 246,631.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.