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Finding the Third Proportional to 128,107 and 192,572

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Solution

The third proportional to 128,107 and 192,572 is: 289,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,107 : 192,572 = 192,572 : x
  2. Step 2: Convert to fraction form
    128,107/192,572 = 192,572/x
  3. Step 3: Cross multiply
    128,107x = 192,572 × 192,572
  4. Step 4: Simplify right side
    128,107x = 37,083,975,184
  5. Step 5: Solve for x
    x = 37,083,975,184/128,107
  6. Step 6: Final answer
    x = 289,476.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.