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Finding the Third Proportional to 101,100 and 153,042

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Solution

The third proportional to 101,100 and 153,042 is: 231,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,100 : 153,042 = 153,042 : x
  2. Step 2: Convert to fraction form
    101,100/153,042 = 153,042/x
  3. Step 3: Cross multiply
    101,100x = 153,042 × 153,042
  4. Step 4: Simplify right side
    101,100x = 23,421,853,764
  5. Step 5: Solve for x
    x = 23,421,853,764/101,100
  6. Step 6: Final answer
    x = 231,670.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.