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Finding the Third Proportional to 137,626.50 and 201,129

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Solution

The third proportional to 137,626.50 and 201,129 is: 293,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,626.50 : 201,129 = 201,129 : x
  2. Step 2: Convert to fraction form
    137,626.50/201,129 = 201,129/x
  3. Step 3: Cross multiply
    137,626.50x = 201,129 × 201,129
  4. Step 4: Simplify right side
    137,626.50x = 40,452,874,641
  5. Step 5: Solve for x
    x = 40,452,874,641/137,626.50
  6. Step 6: Final answer
    x = 293,932.31

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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.