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Finding the Third Proportional to 118,428.75 and 182,035.50

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Solution

The third proportional to 118,428.75 and 182,035.50 is: 279,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,428.75 : 182,035.50 = 182,035.50 : x
  2. Step 2: Convert to fraction form
    118,428.75/182,035.50 = 182,035.50/x
  3. Step 3: Cross multiply
    118,428.75x = 182,035.50 × 182,035.50
  4. Step 4: Simplify right side
    118,428.75x = 33,136,923,260.25
  5. Step 5: Solve for x
    x = 33,136,923,260.25/118,428.75
  6. Step 6: Final answer
    x = 279,804.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.