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Finding the Third Proportional to 65,890 and 98,595

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Solution

The third proportional to 65,890 and 98,595 is: 147,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,890 : 98,595 = 98,595 : x
  2. Step 2: Convert to fraction form
    65,890/98,595 = 98,595/x
  3. Step 3: Cross multiply
    65,890x = 98,595 × 98,595
  4. Step 4: Simplify right side
    65,890x = 9,720,974,025
  5. Step 5: Solve for x
    x = 9,720,974,025/65,890
  6. Step 6: Final answer
    x = 147,533.37

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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.