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Finding the Third Proportional to 126,047 and 265,864

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Solution

The third proportional to 126,047 and 265,864 is: 560,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,047 : 265,864 = 265,864 : x
  2. Step 2: Convert to fraction form
    126,047/265,864 = 265,864/x
  3. Step 3: Cross multiply
    126,047x = 265,864 × 265,864
  4. Step 4: Simplify right side
    126,047x = 70,683,666,496
  5. Step 5: Solve for x
    x = 70,683,666,496/126,047
  6. Step 6: Final answer
    x = 560,772.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.