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Finding the Third Proportional to 128,897.25 and 189,603.75

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Solution

The third proportional to 128,897.25 and 189,603.75 is: 278,901.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,897.25 : 189,603.75 = 189,603.75 : x
  2. Step 2: Convert to fraction form
    128,897.25/189,603.75 = 189,603.75/x
  3. Step 3: Cross multiply
    128,897.25x = 189,603.75 × 189,603.75
  4. Step 4: Simplify right side
    128,897.25x = 35,949,582,014.06
  5. Step 5: Solve for x
    x = 35,949,582,014.06/128,897.25
  6. Step 6: Final answer
    x = 278,901.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.