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Finding the Third Proportional to 72,512 and 97,596

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Solution

The third proportional to 72,512 and 97,596 is: 131,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,512 : 97,596 = 97,596 : x
  2. Step 2: Convert to fraction form
    72,512/97,596 = 97,596/x
  3. Step 3: Cross multiply
    72,512x = 97,596 × 97,596
  4. Step 4: Simplify right side
    72,512x = 9,524,979,216
  5. Step 5: Solve for x
    x = 9,524,979,216/72,512
  6. Step 6: Final answer
    x = 131,357.28

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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.