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Finding the Third Proportional to 118,912.50 and 174,102

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Solution

The third proportional to 118,912.50 and 174,102 is: 254,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,912.50 : 174,102 = 174,102 : x
  2. Step 2: Convert to fraction form
    118,912.50/174,102 = 174,102/x
  3. Step 3: Cross multiply
    118,912.50x = 174,102 × 174,102
  4. Step 4: Simplify right side
    118,912.50x = 30,311,506,404
  5. Step 5: Solve for x
    x = 30,311,506,404/118,912.50
  6. Step 6: Final answer
    x = 254,905.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.