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Finding the Third Proportional to 65,505 and 98,583

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Solution

The third proportional to 65,505 and 98,583 is: 148,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,505 : 98,583 = 98,583 : x
  2. Step 2: Convert to fraction form
    65,505/98,583 = 98,583/x
  3. Step 3: Cross multiply
    65,505x = 98,583 × 98,583
  4. Step 4: Simplify right side
    65,505x = 9,718,607,889
  5. Step 5: Solve for x
    x = 9,718,607,889/65,505
  6. Step 6: Final answer
    x = 148,364.37

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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.