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Finding the Third Proportional to 84,572 and 184,048

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Solution

The third proportional to 84,572 and 184,048 is: 400,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,572 : 184,048 = 184,048 : x
  2. Step 2: Convert to fraction form
    84,572/184,048 = 184,048/x
  3. Step 3: Cross multiply
    84,572x = 184,048 × 184,048
  4. Step 4: Simplify right side
    84,572x = 33,873,666,304
  5. Step 5: Solve for x
    x = 33,873,666,304/84,572
  6. Step 6: Final answer
    x = 400,530.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.