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Finding the Third Proportional to 65,621 and 98,495

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Solution

The third proportional to 65,621 and 98,495 is: 147,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,621 : 98,495 = 98,495 : x
  2. Step 2: Convert to fraction form
    65,621/98,495 = 98,495/x
  3. Step 3: Cross multiply
    65,621x = 98,495 × 98,495
  4. Step 4: Simplify right side
    65,621x = 9,701,265,025
  5. Step 5: Solve for x
    x = 9,701,265,025/65,621
  6. Step 6: Final answer
    x = 147,837.81

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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.