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Finding the Third Proportional to 78,984 and 170,613

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Solution

The third proportional to 78,984 and 170,613 is: 368,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,984 : 170,613 = 170,613 : x
  2. Step 2: Convert to fraction form
    78,984/170,613 = 170,613/x
  3. Step 3: Cross multiply
    78,984x = 170,613 × 170,613
  4. Step 4: Simplify right side
    78,984x = 29,108,795,769
  5. Step 5: Solve for x
    x = 29,108,795,769/78,984
  6. Step 6: Final answer
    x = 368,540.41

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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.