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Finding the Third Proportional to 135,272.63 and 210,277.13

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Solution

The third proportional to 135,272.63 and 210,277.13 is: 326,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,272.63 : 210,277.13 = 210,277.13 : x
  2. Step 2: Convert to fraction form
    135,272.63/210,277.13 = 210,277.13/x
  3. Step 3: Cross multiply
    135,272.63x = 210,277.13 × 210,277.13
  4. Step 4: Simplify right side
    135,272.63x = 44,216,469,298.27
  5. Step 5: Solve for x
    x = 44,216,469,298.27/135,272.63
  6. Step 6: Final answer
    x = 326,869.31

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