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Finding the Third Proportional to 51,797.25 and 114,484.50

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Solution

The third proportional to 51,797.25 and 114,484.50 is: 253,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,797.25 : 114,484.50 = 114,484.50 : x
  2. Step 2: Convert to fraction form
    51,797.25/114,484.50 = 114,484.50/x
  3. Step 3: Cross multiply
    51,797.25x = 114,484.50 × 114,484.50
  4. Step 4: Simplify right side
    51,797.25x = 13,106,700,740.25
  5. Step 5: Solve for x
    x = 13,106,700,740.25/51,797.25
  6. Step 6: Final answer
    x = 253,038.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.