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Finding the Third Proportional to 128,130.75 and 162,033.75

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Solution

The third proportional to 128,130.75 and 162,033.75 is: 204,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,130.75 : 162,033.75 = 162,033.75 : x
  2. Step 2: Convert to fraction form
    128,130.75/162,033.75 = 162,033.75/x
  3. Step 3: Cross multiply
    128,130.75x = 162,033.75 × 162,033.75
  4. Step 4: Simplify right side
    128,130.75x = 26,254,936,139.06
  5. Step 5: Solve for x
    x = 26,254,936,139.06/128,130.75
  6. Step 6: Final answer
    x = 204,907.38

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.