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Finding the Third Proportional to 76,788 and 165,237

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Solution

The third proportional to 76,788 and 165,237 is: 355,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,788 : 165,237 = 165,237 : x
  2. Step 2: Convert to fraction form
    76,788/165,237 = 165,237/x
  3. Step 3: Cross multiply
    76,788x = 165,237 × 165,237
  4. Step 4: Simplify right side
    76,788x = 27,303,266,169
  5. Step 5: Solve for x
    x = 27,303,266,169/76,788
  6. Step 6: Final answer
    x = 355,566.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.