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Finding the Third Proportional to 137,623.22 and 201,123.84

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Solution

The third proportional to 137,623.22 and 201,123.84 is: 293,924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,623.22 : 201,123.84 = 201,123.84 : x
  2. Step 2: Convert to fraction form
    137,623.22/201,123.84 = 201,123.84/x
  3. Step 3: Cross multiply
    137,623.22x = 201,123.84 × 201,123.84
  4. Step 4: Simplify right side
    137,623.22x = 40,450,800,524.77
  5. Step 5: Solve for x
    x = 40,450,800,524.77/137,623.22
  6. Step 6: Final answer
    x = 293,924.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.