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Finding the Third Proportional to 59,130 and 127,010

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Solution

The third proportional to 59,130 and 127,010 is: 272,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,130 : 127,010 = 127,010 : x
  2. Step 2: Convert to fraction form
    59,130/127,010 = 127,010/x
  3. Step 3: Cross multiply
    59,130x = 127,010 × 127,010
  4. Step 4: Simplify right side
    59,130x = 16,131,540,100
  5. Step 5: Solve for x
    x = 16,131,540,100/59,130
  6. Step 6: Final answer
    x = 272,814.82

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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.