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Finding the Third Proportional to 121,515.19 and 182,271.94

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Solution

The third proportional to 121,515.19 and 182,271.94 is: 273,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,515.19 : 182,271.94 = 182,271.94 : x
  2. Step 2: Convert to fraction form
    121,515.19/182,271.94 = 182,271.94/x
  3. Step 3: Cross multiply
    121,515.19x = 182,271.94 × 182,271.94
  4. Step 4: Simplify right side
    121,515.19x = 33,223,059,200.00
  5. Step 5: Solve for x
    x = 33,223,059,200.00/121,515.19
  6. Step 6: Final answer
    x = 273,406.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.