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Finding the Third Proportional to 85,587.75 and 184,708.13

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Solution

The third proportional to 85,587.75 and 184,708.13 is: 398,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,587.75 : 184,708.13 = 184,708.13 : x
  2. Step 2: Convert to fraction form
    85,587.75/184,708.13 = 184,708.13/x
  3. Step 3: Cross multiply
    85,587.75x = 184,708.13 × 184,708.13
  4. Step 4: Simplify right side
    85,587.75x = 34,117,091,441.02
  5. Step 5: Solve for x
    x = 34,117,091,441.02/85,587.75
  6. Step 6: Final answer
    x = 398,621.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.