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Finding the Third Proportional to 85,530.75 and 125,673.75

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Solution

The third proportional to 85,530.75 and 125,673.75 is: 184,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,530.75 : 125,673.75 = 125,673.75 : x
  2. Step 2: Convert to fraction form
    85,530.75/125,673.75 = 125,673.75/x
  3. Step 3: Cross multiply
    85,530.75x = 125,673.75 × 125,673.75
  4. Step 4: Simplify right side
    85,530.75x = 15,793,891,439.06
  5. Step 5: Solve for x
    x = 15,793,891,439.06/85,530.75
  6. Step 6: Final answer
    x = 184,657.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.