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Finding the Third Proportional to 135,870.75 and 184,507.88

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Solution

The third proportional to 135,870.75 and 184,507.88 is: 250,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,870.75 : 184,507.88 = 184,507.88 : x
  2. Step 2: Convert to fraction form
    135,870.75/184,507.88 = 184,507.88/x
  3. Step 3: Cross multiply
    135,870.75x = 184,507.88 × 184,507.88
  4. Step 4: Simplify right side
    135,870.75x = 34,043,155,937.02
  5. Step 5: Solve for x
    x = 34,043,155,937.02/135,870.75
  6. Step 6: Final answer
    x = 250,555.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.