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Finding the Third Proportional to 57,262 and 122,132

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Solution

The third proportional to 57,262 and 122,132 is: 260,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,262 : 122,132 = 122,132 : x
  2. Step 2: Convert to fraction form
    57,262/122,132 = 122,132/x
  3. Step 3: Cross multiply
    57,262x = 122,132 × 122,132
  4. Step 4: Simplify right side
    57,262x = 14,916,225,424
  5. Step 5: Solve for x
    x = 14,916,225,424/57,262
  6. Step 6: Final answer
    x = 260,490.82

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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.