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Finding the Third Proportional to 132,392.25 and 202,052.25

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Solution

The third proportional to 132,392.25 and 202,052.25 is: 308,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,392.25 : 202,052.25 = 202,052.25 : x
  2. Step 2: Convert to fraction form
    132,392.25/202,052.25 = 202,052.25/x
  3. Step 3: Cross multiply
    132,392.25x = 202,052.25 × 202,052.25
  4. Step 4: Simplify right side
    132,392.25x = 40,825,111,730.06
  5. Step 5: Solve for x
    x = 40,825,111,730.06/132,392.25
  6. Step 6: Final answer
    x = 308,364.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.