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Finding the Third Proportional to 126,374 and 190,072

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Solution

The third proportional to 126,374 and 190,072 is: 285,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,374 : 190,072 = 190,072 : x
  2. Step 2: Convert to fraction form
    126,374/190,072 = 190,072/x
  3. Step 3: Cross multiply
    126,374x = 190,072 × 190,072
  4. Step 4: Simplify right side
    126,374x = 36,127,365,184
  5. Step 5: Solve for x
    x = 36,127,365,184/126,374
  6. Step 6: Final answer
    x = 285,876.57

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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.