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Finding the Third Proportional to 121,835 and 182,753

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Solution

The third proportional to 121,835 and 182,753 is: 274,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,835 : 182,753 = 182,753 : x
  2. Step 2: Convert to fraction form
    121,835/182,753 = 182,753/x
  3. Step 3: Cross multiply
    121,835x = 182,753 × 182,753
  4. Step 4: Simplify right side
    121,835x = 33,398,659,009
  5. Step 5: Solve for x
    x = 33,398,659,009/121,835
  6. Step 6: Final answer
    x = 274,130.25

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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.