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Finding the Third Proportional to 65,512 and 98,595

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Solution

The third proportional to 65,512 and 98,595 is: 148,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512 : 98,595 = 98,595 : x
  2. Step 2: Convert to fraction form
    65,512/98,595 = 98,595/x
  3. Step 3: Cross multiply
    65,512x = 98,595 × 98,595
  4. Step 4: Simplify right side
    65,512x = 9,720,974,025
  5. Step 5: Solve for x
    x = 9,720,974,025/65,512
  6. Step 6: Final answer
    x = 148,384.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.