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Finding the Third Proportional to 60,080 and 129,796

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Solution

The third proportional to 60,080 and 129,796 is: 280,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,080 : 129,796 = 129,796 : x
  2. Step 2: Convert to fraction form
    60,080/129,796 = 129,796/x
  3. Step 3: Cross multiply
    60,080x = 129,796 × 129,796
  4. Step 4: Simplify right side
    60,080x = 16,847,001,616
  5. Step 5: Solve for x
    x = 16,847,001,616/60,080
  6. Step 6: Final answer
    x = 280,409.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.