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Finding the Third Proportional to 78,056 and 184,202

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Solution

The third proportional to 78,056 and 184,202 is: 434,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,056 : 184,202 = 184,202 : x
  2. Step 2: Convert to fraction form
    78,056/184,202 = 184,202/x
  3. Step 3: Cross multiply
    78,056x = 184,202 × 184,202
  4. Step 4: Simplify right side
    78,056x = 33,930,376,804
  5. Step 5: Solve for x
    x = 33,930,376,804/78,056
  6. Step 6: Final answer
    x = 434,692.74

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Why These Related Problems?

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