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Finding the Third Proportional to 75,640 and 106,000

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Solution

The third proportional to 75,640 and 106,000 is: 148,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640 : 106,000 = 106,000 : x
  2. Step 2: Convert to fraction form
    75,640/106,000 = 106,000/x
  3. Step 3: Cross multiply
    75,640x = 106,000 × 106,000
  4. Step 4: Simplify right side
    75,640x = 11,236,000,000
  5. Step 5: Solve for x
    x = 11,236,000,000/75,640
  6. Step 6: Final answer
    x = 148,545.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.