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Finding the Third Proportional to 43,232 and 66,160

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Solution

The third proportional to 43,232 and 66,160 is: 101,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,232 : 66,160 = 66,160 : x
  2. Step 2: Convert to fraction form
    43,232/66,160 = 66,160/x
  3. Step 3: Cross multiply
    43,232x = 66,160 × 66,160
  4. Step 4: Simplify right side
    43,232x = 4,377,145,600
  5. Step 5: Solve for x
    x = 4,377,145,600/43,232
  6. Step 6: Final answer
    x = 101,247.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.