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Finding the Third Proportional to 56,136 and 120,588

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Solution

The third proportional to 56,136 and 120,588 is: 259,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,136 : 120,588 = 120,588 : x
  2. Step 2: Convert to fraction form
    56,136/120,588 = 120,588/x
  3. Step 3: Cross multiply
    56,136x = 120,588 × 120,588
  4. Step 4: Simplify right side
    56,136x = 14,541,465,744
  5. Step 5: Solve for x
    x = 14,541,465,744/56,136
  6. Step 6: Final answer
    x = 259,039.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.