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Finding the Third Proportional to 83,604 and 180,842

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Solution

The third proportional to 83,604 and 180,842 is: 391,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,604 : 180,842 = 180,842 : x
  2. Step 2: Convert to fraction form
    83,604/180,842 = 180,842/x
  3. Step 3: Cross multiply
    83,604x = 180,842 × 180,842
  4. Step 4: Simplify right side
    83,604x = 32,703,828,964
  5. Step 5: Solve for x
    x = 32,703,828,964/83,604
  6. Step 6: Final answer
    x = 391,175.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.