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Finding the Third Proportional to 53,018.81 and 114,342.56

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Solution

The third proportional to 53,018.81 and 114,342.56 is: 246,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,018.81 : 114,342.56 = 114,342.56 : x
  2. Step 2: Convert to fraction form
    53,018.81/114,342.56 = 114,342.56/x
  3. Step 3: Cross multiply
    53,018.81x = 114,342.56 × 114,342.56
  4. Step 4: Simplify right side
    53,018.81x = 13,074,221,599.07
  5. Step 5: Solve for x
    x = 13,074,221,599.07/53,018.81
  6. Step 6: Final answer
    x = 246,595.90

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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.