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Finding the Third Proportional to 53,056.50 and 113,704.50

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Solution

The third proportional to 53,056.50 and 113,704.50 is: 243,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,056.50 : 113,704.50 = 113,704.50 : x
  2. Step 2: Convert to fraction form
    53,056.50/113,704.50 = 113,704.50/x
  3. Step 3: Cross multiply
    53,056.50x = 113,704.50 × 113,704.50
  4. Step 4: Simplify right side
    53,056.50x = 12,928,713,320.25
  5. Step 5: Solve for x
    x = 12,928,713,320.25/53,056.50
  6. Step 6: Final answer
    x = 243,678.22

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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.