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Finding the Third Proportional to 59,578 and 130,963

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Solution

The third proportional to 59,578 and 130,963 is: 287,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,578 : 130,963 = 130,963 : x
  2. Step 2: Convert to fraction form
    59,578/130,963 = 130,963/x
  3. Step 3: Cross multiply
    59,578x = 130,963 × 130,963
  4. Step 4: Simplify right side
    59,578x = 17,151,307,369
  5. Step 5: Solve for x
    x = 17,151,307,369/59,578
  6. Step 6: Final answer
    x = 287,879.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.