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Finding the Third Proportional to 76,730 and 116,698

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Solution

The third proportional to 76,730 and 116,698 is: 177,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,730 : 116,698 = 116,698 : x
  2. Step 2: Convert to fraction form
    76,730/116,698 = 116,698/x
  3. Step 3: Cross multiply
    76,730x = 116,698 × 116,698
  4. Step 4: Simplify right side
    76,730x = 13,618,423,204
  5. Step 5: Solve for x
    x = 13,618,423,204/76,730
  6. Step 6: Final answer
    x = 177,484.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.