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Finding the Third Proportional to 52,927.88 and 113,529.94

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Solution

The third proportional to 52,927.88 and 113,529.94 is: 243,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,927.88 : 113,529.94 = 113,529.94 : x
  2. Step 2: Convert to fraction form
    52,927.88/113,529.94 = 113,529.94/x
  3. Step 3: Cross multiply
    52,927.88x = 113,529.94 × 113,529.94
  4. Step 4: Simplify right side
    52,927.88x = 12,889,046,708.75
  5. Step 5: Solve for x
    x = 12,889,046,708.75/52,927.88
  6. Step 6: Final answer
    x = 243,520.96

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Why These Related Problems?

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