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Finding the Third Proportional to 76,185 and 161,584

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Solution

The third proportional to 76,185 and 161,584 is: 342,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,185 : 161,584 = 161,584 : x
  2. Step 2: Convert to fraction form
    76,185/161,584 = 161,584/x
  3. Step 3: Cross multiply
    76,185x = 161,584 × 161,584
  4. Step 4: Simplify right side
    76,185x = 26,109,389,056
  5. Step 5: Solve for x
    x = 26,109,389,056/76,185
  6. Step 6: Final answer
    x = 342,710.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.