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Finding the Third Proportional to 86,041.13 and 184,537.55

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Solution

The third proportional to 86,041.13 and 184,537.55 is: 395,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,041.13 : 184,537.55 = 184,537.55 : x
  2. Step 2: Convert to fraction form
    86,041.13/184,537.55 = 184,537.55/x
  3. Step 3: Cross multiply
    86,041.13x = 184,537.55 × 184,537.55
  4. Step 4: Simplify right side
    86,041.13x = 34,054,106,206.64
  5. Step 5: Solve for x
    x = 34,054,106,206.64/86,041.13
  6. Step 6: Final answer
    x = 395,788.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.