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Finding the Third Proportional to 67,810 and 100,333

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Solution

The third proportional to 67,810 and 100,333 is: 148,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,810 : 100,333 = 100,333 : x
  2. Step 2: Convert to fraction form
    67,810/100,333 = 100,333/x
  3. Step 3: Cross multiply
    67,810x = 100,333 × 100,333
  4. Step 4: Simplify right side
    67,810x = 10,066,710,889
  5. Step 5: Solve for x
    x = 10,066,710,889/67,810
  6. Step 6: Final answer
    x = 148,454.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.