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Finding the Third Proportional to 56,197 and 120,390.50

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Solution

The third proportional to 56,197 and 120,390.50 is: 257,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,197 : 120,390.50 = 120,390.50 : x
  2. Step 2: Convert to fraction form
    56,197/120,390.50 = 120,390.50/x
  3. Step 3: Cross multiply
    56,197x = 120,390.50 × 120,390.50
  4. Step 4: Simplify right side
    56,197x = 14,493,872,490.25
  5. Step 5: Solve for x
    x = 14,493,872,490.25/56,197
  6. Step 6: Final answer
    x = 257,911.85

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