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Finding the Third Proportional to 85,032 and 118,881

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Solution

The third proportional to 85,032 and 118,881 is: 166,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,032 : 118,881 = 118,881 : x
  2. Step 2: Convert to fraction form
    85,032/118,881 = 118,881/x
  3. Step 3: Cross multiply
    85,032x = 118,881 × 118,881
  4. Step 4: Simplify right side
    85,032x = 14,132,692,161
  5. Step 5: Solve for x
    x = 14,132,692,161/85,032
  6. Step 6: Final answer
    x = 166,204.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.