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Finding the Third Proportional to 96,076 and 208,765

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Solution

The third proportional to 96,076 and 208,765 is: 453,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,076 : 208,765 = 208,765 : x
  2. Step 2: Convert to fraction form
    96,076/208,765 = 208,765/x
  3. Step 3: Cross multiply
    96,076x = 208,765 × 208,765
  4. Step 4: Simplify right side
    96,076x = 43,582,825,225
  5. Step 5: Solve for x
    x = 43,582,825,225/96,076
  6. Step 6: Final answer
    x = 453,628.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.