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Finding the Third Proportional to 76,166.58 and 165,045.09

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Solution

The third proportional to 76,166.58 and 165,045.09 is: 357,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,166.58 : 165,045.09 = 165,045.09 : x
  2. Step 2: Convert to fraction form
    76,166.58/165,045.09 = 165,045.09/x
  3. Step 3: Cross multiply
    76,166.58x = 165,045.09 × 165,045.09
  4. Step 4: Simplify right side
    76,166.58x = 27,239,882,970.95
  5. Step 5: Solve for x
    x = 27,239,882,970.95/76,166.58
  6. Step 6: Final answer
    x = 357,635.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.