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Finding the Third Proportional to 43,128 and 68,580

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Solution

The third proportional to 43,128 and 68,580 is: 109,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,128 : 68,580 = 68,580 : x
  2. Step 2: Convert to fraction form
    43,128/68,580 = 68,580/x
  3. Step 3: Cross multiply
    43,128x = 68,580 × 68,580
  4. Step 4: Simplify right side
    43,128x = 4,703,216,400
  5. Step 5: Solve for x
    x = 4,703,216,400/43,128
  6. Step 6: Final answer
    x = 109,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.