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Finding the Third Proportional to 90,673 and 127,461

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Solution

The third proportional to 90,673 and 127,461 is: 179,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,673 : 127,461 = 127,461 : x
  2. Step 2: Convert to fraction form
    90,673/127,461 = 127,461/x
  3. Step 3: Cross multiply
    90,673x = 127,461 × 127,461
  4. Step 4: Simplify right side
    90,673x = 16,246,306,521
  5. Step 5: Solve for x
    x = 16,246,306,521/90,673
  6. Step 6: Final answer
    x = 179,174.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.