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Finding the Third Proportional to 40,524 and 85,160

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Solution

The third proportional to 40,524 and 85,160 is: 178,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,524 : 85,160 = 85,160 : x
  2. Step 2: Convert to fraction form
    40,524/85,160 = 85,160/x
  3. Step 3: Cross multiply
    40,524x = 85,160 × 85,160
  4. Step 4: Simplify right side
    40,524x = 7,252,225,600
  5. Step 5: Solve for x
    x = 7,252,225,600/40,524
  6. Step 6: Final answer
    x = 178,961.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.