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Finding the Third Proportional to 76,012.50 and 161,868

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Solution

The third proportional to 76,012.50 and 161,868 is: 344,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,012.50 : 161,868 = 161,868 : x
  2. Step 2: Convert to fraction form
    76,012.50/161,868 = 161,868/x
  3. Step 3: Cross multiply
    76,012.50x = 161,868 × 161,868
  4. Step 4: Simplify right side
    76,012.50x = 26,201,249,424
  5. Step 5: Solve for x
    x = 26,201,249,424/76,012.50
  6. Step 6: Final answer
    x = 344,696.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.