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Finding the Third Proportional to 126,784 and 181,104

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Solution

The third proportional to 126,784 and 181,104 is: 258,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,784 : 181,104 = 181,104 : x
  2. Step 2: Convert to fraction form
    126,784/181,104 = 181,104/x
  3. Step 3: Cross multiply
    126,784x = 181,104 × 181,104
  4. Step 4: Simplify right side
    126,784x = 32,798,658,816
  5. Step 5: Solve for x
    x = 32,798,658,816/126,784
  6. Step 6: Final answer
    x = 258,697.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.