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Finding the Third Proportional to 42,860 and 65,920

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Solution

The third proportional to 42,860 and 65,920 is: 101,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,860 : 65,920 = 65,920 : x
  2. Step 2: Convert to fraction form
    42,860/65,920 = 65,920/x
  3. Step 3: Cross multiply
    42,860x = 65,920 × 65,920
  4. Step 4: Simplify right side
    42,860x = 4,345,446,400
  5. Step 5: Solve for x
    x = 4,345,446,400/42,860
  6. Step 6: Final answer
    x = 101,386.99

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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.