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Finding the Third Proportional to 59,757 and 130,383

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Solution

The third proportional to 59,757 and 130,383 is: 284,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,757 : 130,383 = 130,383 : x
  2. Step 2: Convert to fraction form
    59,757/130,383 = 130,383/x
  3. Step 3: Cross multiply
    59,757x = 130,383 × 130,383
  4. Step 4: Simplify right side
    59,757x = 16,999,726,689
  5. Step 5: Solve for x
    x = 16,999,726,689/59,757
  6. Step 6: Final answer
    x = 284,480.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.