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Finding the Third Proportional to 96,080 and 153,489

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Solution

The third proportional to 96,080 and 153,489 is: 245,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,080 : 153,489 = 153,489 : x
  2. Step 2: Convert to fraction form
    96,080/153,489 = 153,489/x
  3. Step 3: Cross multiply
    96,080x = 153,489 × 153,489
  4. Step 4: Simplify right side
    96,080x = 23,558,873,121
  5. Step 5: Solve for x
    x = 23,558,873,121/96,080
  6. Step 6: Final answer
    x = 245,200.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.