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Finding the Third Proportional to 72,672 and 97,662

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Solution

The third proportional to 72,672 and 97,662 is: 131,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,672 : 97,662 = 97,662 : x
  2. Step 2: Convert to fraction form
    72,672/97,662 = 97,662/x
  3. Step 3: Cross multiply
    72,672x = 97,662 × 97,662
  4. Step 4: Simplify right side
    72,672x = 9,537,866,244
  5. Step 5: Solve for x
    x = 9,537,866,244/72,672
  6. Step 6: Final answer
    x = 131,245.41

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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.