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Finding the Third Proportional to 72,674 and 97,660

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Solution

The third proportional to 72,674 and 97,660 is: 131,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,674 : 97,660 = 97,660 : x
  2. Step 2: Convert to fraction form
    72,674/97,660 = 97,660/x
  3. Step 3: Cross multiply
    72,674x = 97,660 × 97,660
  4. Step 4: Simplify right side
    72,674x = 9,537,475,600
  5. Step 5: Solve for x
    x = 9,537,475,600/72,674
  6. Step 6: Final answer
    x = 131,236.42

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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.