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Finding the Third Proportional to 42,216 and 65,910

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Solution

The third proportional to 42,216 and 65,910 is: 102,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,216 : 65,910 = 65,910 : x
  2. Step 2: Convert to fraction form
    42,216/65,910 = 65,910/x
  3. Step 3: Cross multiply
    42,216x = 65,910 × 65,910
  4. Step 4: Simplify right side
    42,216x = 4,344,128,100
  5. Step 5: Solve for x
    x = 4,344,128,100/42,216
  6. Step 6: Final answer
    x = 102,902.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.