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Finding the Third Proportional to 59,731.75 and 128,317

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Solution

The third proportional to 59,731.75 and 128,317 is: 275,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,731.75 : 128,317 = 128,317 : x
  2. Step 2: Convert to fraction form
    59,731.75/128,317 = 128,317/x
  3. Step 3: Cross multiply
    59,731.75x = 128,317 × 128,317
  4. Step 4: Simplify right side
    59,731.75x = 16,465,252,489
  5. Step 5: Solve for x
    x = 16,465,252,489/59,731.75
  6. Step 6: Final answer
    x = 275,653.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.