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Finding the Third Proportional to 107,128 and 153,042

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Solution

The third proportional to 107,128 and 153,042 is: 218,634.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,128 : 153,042 = 153,042 : x
  2. Step 2: Convert to fraction form
    107,128/153,042 = 153,042/x
  3. Step 3: Cross multiply
    107,128x = 153,042 × 153,042
  4. Step 4: Simplify right side
    107,128x = 23,421,853,764
  5. Step 5: Solve for x
    x = 23,421,853,764/107,128
  6. Step 6: Final answer
    x = 218,634.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.