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Finding the Third Proportional to 83,676 and 117,038

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Solution

The third proportional to 83,676 and 117,038 is: 163,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,676 : 117,038 = 117,038 : x
  2. Step 2: Convert to fraction form
    83,676/117,038 = 117,038/x
  3. Step 3: Cross multiply
    83,676x = 117,038 × 117,038
  4. Step 4: Simplify right side
    83,676x = 13,697,893,444
  5. Step 5: Solve for x
    x = 13,697,893,444/83,676
  6. Step 6: Final answer
    x = 163,701.58

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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.