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Finding the Third Proportional to 56,598 and 116,028

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Solution

The third proportional to 56,598 and 116,028 is: 237,861.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598 : 116,028 = 116,028 : x
  2. Step 2: Convert to fraction form
    56,598/116,028 = 116,028/x
  3. Step 3: Cross multiply
    56,598x = 116,028 × 116,028
  4. Step 4: Simplify right side
    56,598x = 13,462,496,784
  5. Step 5: Solve for x
    x = 13,462,496,784/56,598
  6. Step 6: Final answer
    x = 237,861.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.