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Finding the Third Proportional to 51,619.50 and 114,293.81

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Solution

The third proportional to 51,619.50 and 114,293.81 is: 253,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,619.50 : 114,293.81 = 114,293.81 : x
  2. Step 2: Convert to fraction form
    51,619.50/114,293.81 = 114,293.81/x
  3. Step 3: Cross multiply
    51,619.50x = 114,293.81 × 114,293.81
  4. Step 4: Simplify right side
    51,619.50x = 13,063,075,575.79
  5. Step 5: Solve for x
    x = 13,063,075,575.79/51,619.50
  6. Step 6: Final answer
    x = 253,064.74

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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.