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Finding the Third Proportional to 65,366 and 100,516

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Solution

The third proportional to 65,366 and 100,516 is: 154,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,366 : 100,516 = 100,516 : x
  2. Step 2: Convert to fraction form
    65,366/100,516 = 100,516/x
  3. Step 3: Cross multiply
    65,366x = 100,516 × 100,516
  4. Step 4: Simplify right side
    65,366x = 10,103,466,256
  5. Step 5: Solve for x
    x = 10,103,466,256/65,366
  6. Step 6: Final answer
    x = 154,567.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.