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Finding the Third Proportional to 51,907.50 and 113,973.75

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Solution

The third proportional to 51,907.50 and 113,973.75 is: 250,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,907.50 : 113,973.75 = 113,973.75 : x
  2. Step 2: Convert to fraction form
    51,907.50/113,973.75 = 113,973.75/x
  3. Step 3: Cross multiply
    51,907.50x = 113,973.75 × 113,973.75
  4. Step 4: Simplify right side
    51,907.50x = 12,990,015,689.06
  5. Step 5: Solve for x
    x = 12,990,015,689.06/51,907.50
  6. Step 6: Final answer
    x = 250,253.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.