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Finding the Third Proportional to 42,842 and 66,998

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Solution

The third proportional to 42,842 and 66,998 is: 104,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842 : 66,998 = 66,998 : x
  2. Step 2: Convert to fraction form
    42,842/66,998 = 66,998/x
  3. Step 3: Cross multiply
    42,842x = 66,998 × 66,998
  4. Step 4: Simplify right side
    42,842x = 4,488,732,004
  5. Step 5: Solve for x
    x = 4,488,732,004/42,842
  6. Step 6: Final answer
    x = 104,774.10

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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.