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Finding the Third Proportional to 60,907 and 132,853

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Solution

The third proportional to 60,907 and 132,853 is: 289,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,907 : 132,853 = 132,853 : x
  2. Step 2: Convert to fraction form
    60,907/132,853 = 132,853/x
  3. Step 3: Cross multiply
    60,907x = 132,853 × 132,853
  4. Step 4: Simplify right side
    60,907x = 17,649,919,609
  5. Step 5: Solve for x
    x = 17,649,919,609/60,907
  6. Step 6: Final answer
    x = 289,784.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.