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Finding the Third Proportional to 78,765 and 106,119

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Solution

The third proportional to 78,765 and 106,119 is: 142,972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,765 : 106,119 = 106,119 : x
  2. Step 2: Convert to fraction form
    78,765/106,119 = 106,119/x
  3. Step 3: Cross multiply
    78,765x = 106,119 × 106,119
  4. Step 4: Simplify right side
    78,765x = 11,261,242,161
  5. Step 5: Solve for x
    x = 11,261,242,161/78,765
  6. Step 6: Final answer
    x = 142,972.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.