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Finding the Third Proportional to 76,181.25 and 164,069.06

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Solution

The third proportional to 76,181.25 and 164,069.06 is: 353,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,181.25 : 164,069.06 = 164,069.06 : x
  2. Step 2: Convert to fraction form
    76,181.25/164,069.06 = 164,069.06/x
  3. Step 3: Cross multiply
    76,181.25x = 164,069.06 × 164,069.06
  4. Step 4: Simplify right side
    76,181.25x = 26,918,657,269.63
  5. Step 5: Solve for x
    x = 26,918,657,269.63/76,181.25
  6. Step 6: Final answer
    x = 353,350.17

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