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Finding the Third Proportional to 56,410 and 120,596

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Solution

The third proportional to 56,410 and 120,596 is: 257,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,410 : 120,596 = 120,596 : x
  2. Step 2: Convert to fraction form
    56,410/120,596 = 120,596/x
  3. Step 3: Cross multiply
    56,410x = 120,596 × 120,596
  4. Step 4: Simplify right side
    56,410x = 14,543,395,216
  5. Step 5: Solve for x
    x = 14,543,395,216/56,410
  6. Step 6: Final answer
    x = 257,815.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.