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Finding the Third Proportional to 103,576 and 151,960

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Solution

The third proportional to 103,576 and 151,960 is: 222,945.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,576 : 151,960 = 151,960 : x
  2. Step 2: Convert to fraction form
    103,576/151,960 = 151,960/x
  3. Step 3: Cross multiply
    103,576x = 151,960 × 151,960
  4. Step 4: Simplify right side
    103,576x = 23,091,841,600
  5. Step 5: Solve for x
    x = 23,091,841,600/103,576
  6. Step 6: Final answer
    x = 222,945.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.