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Finding the Third Proportional to 127,154 and 192,368

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Solution

The third proportional to 127,154 and 192,368 is: 291,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,154 : 192,368 = 192,368 : x
  2. Step 2: Convert to fraction form
    127,154/192,368 = 192,368/x
  3. Step 3: Cross multiply
    127,154x = 192,368 × 192,368
  4. Step 4: Simplify right side
    127,154x = 37,005,447,424
  5. Step 5: Solve for x
    x = 37,005,447,424/127,154
  6. Step 6: Final answer
    x = 291,028.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.