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Finding the Third Proportional to 59,072 and 127,985

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Solution

The third proportional to 59,072 and 127,985 is: 277,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,072 : 127,985 = 127,985 : x
  2. Step 2: Convert to fraction form
    59,072/127,985 = 127,985/x
  3. Step 3: Cross multiply
    59,072x = 127,985 × 127,985
  4. Step 4: Simplify right side
    59,072x = 16,380,160,225
  5. Step 5: Solve for x
    x = 16,380,160,225/59,072
  6. Step 6: Final answer
    x = 277,291.44

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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.