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Finding the Third Proportional to 65,566 and 98,676

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Solution

The third proportional to 65,566 and 98,676 is: 148,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,566 : 98,676 = 98,676 : x
  2. Step 2: Convert to fraction form
    65,566/98,676 = 98,676/x
  3. Step 3: Cross multiply
    65,566x = 98,676 × 98,676
  4. Step 4: Simplify right side
    65,566x = 9,736,952,976
  5. Step 5: Solve for x
    x = 9,736,952,976/65,566
  6. Step 6: Final answer
    x = 148,506.13

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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.