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Finding the Third Proportional to 128,104 and 195,254

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Solution

The third proportional to 128,104 and 195,254 is: 297,602.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,104 : 195,254 = 195,254 : x
  2. Step 2: Convert to fraction form
    128,104/195,254 = 195,254/x
  3. Step 3: Cross multiply
    128,104x = 195,254 × 195,254
  4. Step 4: Simplify right side
    128,104x = 38,124,124,516
  5. Step 5: Solve for x
    x = 38,124,124,516/128,104
  6. Step 6: Final answer
    x = 297,602.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.