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Finding the Third Proportional to 91,180 and 138,028

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Solution

The third proportional to 91,180 and 138,028 is: 208,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,180 : 138,028 = 138,028 : x
  2. Step 2: Convert to fraction form
    91,180/138,028 = 138,028/x
  3. Step 3: Cross multiply
    91,180x = 138,028 × 138,028
  4. Step 4: Simplify right side
    91,180x = 19,051,728,784
  5. Step 5: Solve for x
    x = 19,051,728,784/91,180
  6. Step 6: Final answer
    x = 208,946.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.