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Finding the Third Proportional to 34,896 and 76,272

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Solution

The third proportional to 34,896 and 76,272 is: 166,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,896 : 76,272 = 76,272 : x
  2. Step 2: Convert to fraction form
    34,896/76,272 = 76,272/x
  3. Step 3: Cross multiply
    34,896x = 76,272 × 76,272
  4. Step 4: Simplify right side
    34,896x = 5,817,417,984
  5. Step 5: Solve for x
    x = 5,817,417,984/34,896
  6. Step 6: Final answer
    x = 166,707.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.