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Finding the Third Proportional to 42,354 and 66,999

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Solution

The third proportional to 42,354 and 66,999 is: 105,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,354 : 66,999 = 66,999 : x
  2. Step 2: Convert to fraction form
    42,354/66,999 = 66,999/x
  3. Step 3: Cross multiply
    42,354x = 66,999 × 66,999
  4. Step 4: Simplify right side
    42,354x = 4,488,866,001
  5. Step 5: Solve for x
    x = 4,488,866,001/42,354
  6. Step 6: Final answer
    x = 105,984.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.