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Finding the Third Proportional to 42,456 and 65,680

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Solution

The third proportional to 42,456 and 65,680 is: 101,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456 : 65,680 = 65,680 : x
  2. Step 2: Convert to fraction form
    42,456/65,680 = 65,680/x
  3. Step 3: Cross multiply
    42,456x = 65,680 × 65,680
  4. Step 4: Simplify right side
    42,456x = 4,313,862,400
  5. Step 5: Solve for x
    x = 4,313,862,400/42,456
  6. Step 6: Final answer
    x = 101,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.