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Finding the Third Proportional to 73,719 and 110,461

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Solution

The third proportional to 73,719 and 110,461 is: 165,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,719 : 110,461 = 110,461 : x
  2. Step 2: Convert to fraction form
    73,719/110,461 = 110,461/x
  3. Step 3: Cross multiply
    73,719x = 110,461 × 110,461
  4. Step 4: Simplify right side
    73,719x = 12,201,632,521
  5. Step 5: Solve for x
    x = 12,201,632,521/73,719
  6. Step 6: Final answer
    x = 165,515.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.