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Finding the Third Proportional to 59,070 and 127,983

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Solution

The third proportional to 59,070 and 127,983 is: 277,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,070 : 127,983 = 127,983 : x
  2. Step 2: Convert to fraction form
    59,070/127,983 = 127,983/x
  3. Step 3: Cross multiply
    59,070x = 127,983 × 127,983
  4. Step 4: Simplify right side
    59,070x = 16,379,648,289
  5. Step 5: Solve for x
    x = 16,379,648,289/59,070
  6. Step 6: Final answer
    x = 277,292.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.