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Finding the Third Proportional to 56,592 and 120,416

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Solution

The third proportional to 56,592 and 120,416 is: 256,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,592 : 120,416 = 120,416 : x
  2. Step 2: Convert to fraction form
    56,592/120,416 = 120,416/x
  3. Step 3: Cross multiply
    56,592x = 120,416 × 120,416
  4. Step 4: Simplify right side
    56,592x = 14,500,013,056
  5. Step 5: Solve for x
    x = 14,500,013,056/56,592
  6. Step 6: Final answer
    x = 256,220.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.