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Finding the Third Proportional to 135,935.72 and 210,054.52

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Solution

The third proportional to 135,935.72 and 210,054.52 is: 324,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,935.72 : 210,054.52 = 210,054.52 : x
  2. Step 2: Convert to fraction form
    135,935.72/210,054.52 = 210,054.52/x
  3. Step 3: Cross multiply
    135,935.72x = 210,054.52 × 210,054.52
  4. Step 4: Simplify right side
    135,935.72x = 44,122,899,534.45
  5. Step 5: Solve for x
    x = 44,122,899,534.45/135,935.72
  6. Step 6: Final answer
    x = 324,586.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.