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Finding the Third Proportional to 33,079.50 and 78,076

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Solution

The third proportional to 33,079.50 and 78,076 is: 184,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,079.50 : 78,076 = 78,076 : x
  2. Step 2: Convert to fraction form
    33,079.50/78,076 = 78,076/x
  3. Step 3: Cross multiply
    33,079.50x = 78,076 × 78,076
  4. Step 4: Simplify right side
    33,079.50x = 6,095,861,776
  5. Step 5: Solve for x
    x = 6,095,861,776/33,079.50
  6. Step 6: Final answer
    x = 184,279.14

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.