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Finding the Third Proportional to 137,642 and 201,151

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Solution

The third proportional to 137,642 and 201,151 is: 293,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,642 : 201,151 = 201,151 : x
  2. Step 2: Convert to fraction form
    137,642/201,151 = 201,151/x
  3. Step 3: Cross multiply
    137,642x = 201,151 × 201,151
  4. Step 4: Simplify right side
    137,642x = 40,461,724,801
  5. Step 5: Solve for x
    x = 40,461,724,801/137,642
  6. Step 6: Final answer
    x = 293,963.51

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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.