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Finding the Third Proportional to 118,077.75 and 137,271.38

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Solution

The third proportional to 118,077.75 and 137,271.38 is: 159,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,077.75 : 137,271.38 = 137,271.38 : x
  2. Step 2: Convert to fraction form
    118,077.75/137,271.38 = 137,271.38/x
  3. Step 3: Cross multiply
    118,077.75x = 137,271.38 × 137,271.38
  4. Step 4: Simplify right side
    118,077.75x = 18,843,430,394.39
  5. Step 5: Solve for x
    x = 18,843,430,394.39/118,077.75
  6. Step 6: Final answer
    x = 159,584.94

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.