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Finding the Third Proportional to 118,957 and 161,476

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Solution

The third proportional to 118,957 and 161,476 is: 219,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,957 : 161,476 = 161,476 : x
  2. Step 2: Convert to fraction form
    118,957/161,476 = 161,476/x
  3. Step 3: Cross multiply
    118,957x = 161,476 × 161,476
  4. Step 4: Simplify right side
    118,957x = 26,074,498,576
  5. Step 5: Solve for x
    x = 26,074,498,576/118,957
  6. Step 6: Final answer
    x = 219,192.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.