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Finding the Third Proportional to 76,056 and 161,964

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Solution

The third proportional to 76,056 and 161,964 is: 344,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,056 : 161,964 = 161,964 : x
  2. Step 2: Convert to fraction form
    76,056/161,964 = 161,964/x
  3. Step 3: Cross multiply
    76,056x = 161,964 × 161,964
  4. Step 4: Simplify right side
    76,056x = 26,232,337,296
  5. Step 5: Solve for x
    x = 26,232,337,296/76,056
  6. Step 6: Final answer
    x = 344,908.19

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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.