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Finding the Third Proportional to 76,712.16 and 164,085.94

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Solution

The third proportional to 76,712.16 and 164,085.94 is: 350,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,712.16 : 164,085.94 = 164,085.94 : x
  2. Step 2: Convert to fraction form
    76,712.16/164,085.94 = 164,085.94/x
  3. Step 3: Cross multiply
    76,712.16x = 164,085.94 × 164,085.94
  4. Step 4: Simplify right side
    76,712.16x = 26,924,194,885.25
  5. Step 5: Solve for x
    x = 26,924,194,885.25/76,712.16
  6. Step 6: Final answer
    x = 350,976.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.