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Finding the Third Proportional to 53,019.56 and 113,628.84

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Solution

The third proportional to 53,019.56 and 113,628.84 is: 243,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,019.56 : 113,628.84 = 113,628.84 : x
  2. Step 2: Convert to fraction form
    53,019.56/113,628.84 = 113,628.84/x
  3. Step 3: Cross multiply
    53,019.56x = 113,628.84 × 113,628.84
  4. Step 4: Simplify right side
    53,019.56x = 12,911,514,131.96
  5. Step 5: Solve for x
    x = 12,911,514,131.96/53,019.56
  6. Step 6: Final answer
    x = 243,523.59

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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.