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Finding the Third Proportional to 43,746 and 96,516

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Solution

The third proportional to 43,746 and 96,516 is: 212,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746 : 96,516 = 96,516 : x
  2. Step 2: Convert to fraction form
    43,746/96,516 = 96,516/x
  3. Step 3: Cross multiply
    43,746x = 96,516 × 96,516
  4. Step 4: Simplify right side
    43,746x = 9,315,338,256
  5. Step 5: Solve for x
    x = 9,315,338,256/43,746
  6. Step 6: Final answer
    x = 212,941.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.