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Finding the Third Proportional to 137,930 and 179,628

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Solution

The third proportional to 137,930 and 179,628 is: 233,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,930 : 179,628 = 179,628 : x
  2. Step 2: Convert to fraction form
    137,930/179,628 = 179,628/x
  3. Step 3: Cross multiply
    137,930x = 179,628 × 179,628
  4. Step 4: Simplify right side
    137,930x = 32,266,218,384
  5. Step 5: Solve for x
    x = 32,266,218,384/137,930
  6. Step 6: Final answer
    x = 233,931.84

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.