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Finding the Third Proportional to 128,966.75 and 144,959.25

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Solution

The third proportional to 128,966.75 and 144,959.25 is: 162,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,966.75 : 144,959.25 = 144,959.25 : x
  2. Step 2: Convert to fraction form
    128,966.75/144,959.25 = 144,959.25/x
  3. Step 3: Cross multiply
    128,966.75x = 144,959.25 × 144,959.25
  4. Step 4: Simplify right side
    128,966.75x = 21,013,184,160.56
  5. Step 5: Solve for x
    x = 21,013,184,160.56/128,966.75
  6. Step 6: Final answer
    x = 162,934.90

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.