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Finding the Third Proportional to 126,395 and 190,394

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Solution

The third proportional to 126,395 and 190,394 is: 286,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,395 : 190,394 = 190,394 : x
  2. Step 2: Convert to fraction form
    126,395/190,394 = 190,394/x
  3. Step 3: Cross multiply
    126,395x = 190,394 × 190,394
  4. Step 4: Simplify right side
    126,395x = 36,249,875,236
  5. Step 5: Solve for x
    x = 36,249,875,236/126,395
  6. Step 6: Final answer
    x = 286,798.33

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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.