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Finding the Third Proportional to 72,025 and 95,574

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Solution

The third proportional to 72,025 and 95,574 is: 126,822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,025 : 95,574 = 95,574 : x
  2. Step 2: Convert to fraction form
    72,025/95,574 = 95,574/x
  3. Step 3: Cross multiply
    72,025x = 95,574 × 95,574
  4. Step 4: Simplify right side
    72,025x = 9,134,389,476
  5. Step 5: Solve for x
    x = 9,134,389,476/72,025
  6. Step 6: Final answer
    x = 126,822.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.