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Finding the Third Proportional to 78,050 and 184,037

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Solution

The third proportional to 78,050 and 184,037 is: 433,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,050 : 184,037 = 184,037 : x
  2. Step 2: Convert to fraction form
    78,050/184,037 = 184,037/x
  3. Step 3: Cross multiply
    78,050x = 184,037 × 184,037
  4. Step 4: Simplify right side
    78,050x = 33,869,617,369
  5. Step 5: Solve for x
    x = 33,869,617,369/78,050
  6. Step 6: Final answer
    x = 433,947.69

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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.