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Finding the Third Proportional to 56,907 and 86,147

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Solution

The third proportional to 56,907 and 86,147 is: 130,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,907 : 86,147 = 86,147 : x
  2. Step 2: Convert to fraction form
    56,907/86,147 = 86,147/x
  3. Step 3: Cross multiply
    56,907x = 86,147 × 86,147
  4. Step 4: Simplify right side
    56,907x = 7,421,305,609
  5. Step 5: Solve for x
    x = 7,421,305,609/56,907
  6. Step 6: Final answer
    x = 130,411.12

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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.