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Finding the Third Proportional to 54,485.16 and 84,956.34

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Solution

The third proportional to 54,485.16 and 84,956.34 is: 132,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,485.16 : 84,956.34 = 84,956.34 : x
  2. Step 2: Convert to fraction form
    54,485.16/84,956.34 = 84,956.34/x
  3. Step 3: Cross multiply
    54,485.16x = 84,956.34 × 84,956.34
  4. Step 4: Simplify right side
    54,485.16x = 7,217,580,343.37
  5. Step 5: Solve for x
    x = 7,217,580,343.37/54,485.16
  6. Step 6: Final answer
    x = 132,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.