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Finding the Third Proportional to 83,668 and 117,028

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Solution

The third proportional to 83,668 and 117,028 is: 163,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,668 : 117,028 = 117,028 : x
  2. Step 2: Convert to fraction form
    83,668/117,028 = 117,028/x
  3. Step 3: Cross multiply
    83,668x = 117,028 × 117,028
  4. Step 4: Simplify right side
    83,668x = 13,695,552,784
  5. Step 5: Solve for x
    x = 13,695,552,784/83,668
  6. Step 6: Final answer
    x = 163,689.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.