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Finding the Third Proportional to 72,080 and 108,012

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Solution

The third proportional to 72,080 and 108,012 is: 161,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,080 : 108,012 = 108,012 : x
  2. Step 2: Convert to fraction form
    72,080/108,012 = 108,012/x
  3. Step 3: Cross multiply
    72,080x = 108,012 × 108,012
  4. Step 4: Simplify right side
    72,080x = 11,666,592,144
  5. Step 5: Solve for x
    x = 11,666,592,144/72,080
  6. Step 6: Final answer
    x = 161,856.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.