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Finding the Third Proportional to 128,105 and 204,650

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Solution

The third proportional to 128,105 and 204,650 is: 326,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,105 : 204,650 = 204,650 : x
  2. Step 2: Convert to fraction form
    128,105/204,650 = 204,650/x
  3. Step 3: Cross multiply
    128,105x = 204,650 × 204,650
  4. Step 4: Simplify right side
    128,105x = 41,881,622,500
  5. Step 5: Solve for x
    x = 41,881,622,500/128,105
  6. Step 6: Final answer
    x = 326,931.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.