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Finding the Third Proportional to 137,626 and 201,128

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Solution

The third proportional to 137,626 and 201,128 is: 293,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,626 : 201,128 = 201,128 : x
  2. Step 2: Convert to fraction form
    137,626/201,128 = 201,128/x
  3. Step 3: Cross multiply
    137,626x = 201,128 × 201,128
  4. Step 4: Simplify right side
    137,626x = 40,452,472,384
  5. Step 5: Solve for x
    x = 40,452,472,384/137,626
  6. Step 6: Final answer
    x = 293,930.45

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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.