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Finding the Third Proportional to 55,391 and 120,130

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Solution

The third proportional to 55,391 and 120,130 is: 260,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,391 : 120,130 = 120,130 : x
  2. Step 2: Convert to fraction form
    55,391/120,130 = 120,130/x
  3. Step 3: Cross multiply
    55,391x = 120,130 × 120,130
  4. Step 4: Simplify right side
    55,391x = 14,431,216,900
  5. Step 5: Solve for x
    x = 14,431,216,900/55,391
  6. Step 6: Final answer
    x = 260,533.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.