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Finding the Third Proportional to 118,045.13 and 184,128.19

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Solution

The third proportional to 118,045.13 and 184,128.19 is: 287,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,045.13 : 184,128.19 = 184,128.19 : x
  2. Step 2: Convert to fraction form
    118,045.13/184,128.19 = 184,128.19/x
  3. Step 3: Cross multiply
    118,045.13x = 184,128.19 × 184,128.19
  4. Step 4: Simplify right side
    118,045.13x = 33,903,189,432.04
  5. Step 5: Solve for x
    x = 33,903,189,432.04/118,045.13
  6. Step 6: Final answer
    x = 287,205.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.