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Finding the Third Proportional to 52,362 and 110,634.75

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Solution

The third proportional to 52,362 and 110,634.75 is: 233,758.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,362 : 110,634.75 = 110,634.75 : x
  2. Step 2: Convert to fraction form
    52,362/110,634.75 = 110,634.75/x
  3. Step 3: Cross multiply
    52,362x = 110,634.75 × 110,634.75
  4. Step 4: Simplify right side
    52,362x = 12,240,047,907.56
  5. Step 5: Solve for x
    x = 12,240,047,907.56/52,362
  6. Step 6: Final answer
    x = 233,758.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.