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Finding the Third Proportional to 72,678 and 97,671

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Solution

The third proportional to 72,678 and 97,671 is: 131,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678 : 97,671 = 97,671 : x
  2. Step 2: Convert to fraction form
    72,678/97,671 = 97,671/x
  3. Step 3: Cross multiply
    72,678x = 97,671 × 97,671
  4. Step 4: Simplify right side
    72,678x = 9,539,624,241
  5. Step 5: Solve for x
    x = 9,539,624,241/72,678
  6. Step 6: Final answer
    x = 131,258.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.