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Finding the Third Proportional to 59,898 and 131,007

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Solution

The third proportional to 59,898 and 131,007 is: 286,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,898 : 131,007 = 131,007 : x
  2. Step 2: Convert to fraction form
    59,898/131,007 = 131,007/x
  3. Step 3: Cross multiply
    59,898x = 131,007 × 131,007
  4. Step 4: Simplify right side
    59,898x = 17,162,834,049
  5. Step 5: Solve for x
    x = 17,162,834,049/59,898
  6. Step 6: Final answer
    x = 286,534.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.