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Finding the Third Proportional to 86,694 and 163,020

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Solution

The third proportional to 86,694 and 163,020 is: 306,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,694 : 163,020 = 163,020 : x
  2. Step 2: Convert to fraction form
    86,694/163,020 = 163,020/x
  3. Step 3: Cross multiply
    86,694x = 163,020 × 163,020
  4. Step 4: Simplify right side
    86,694x = 26,575,520,400
  5. Step 5: Solve for x
    x = 26,575,520,400/86,694
  6. Step 6: Final answer
    x = 306,543.94

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.