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Finding the Third Proportional to 44,307 and 67,842

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Solution

The third proportional to 44,307 and 67,842 is: 103,878.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,307 : 67,842 = 67,842 : x
  2. Step 2: Convert to fraction form
    44,307/67,842 = 67,842/x
  3. Step 3: Cross multiply
    44,307x = 67,842 × 67,842
  4. Step 4: Simplify right side
    44,307x = 4,602,536,964
  5. Step 5: Solve for x
    x = 4,602,536,964/44,307
  6. Step 6: Final answer
    x = 103,878.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.