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Finding the Third Proportional to 57,322 and 121,076

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Solution

The third proportional to 57,322 and 121,076 is: 255,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,322 : 121,076 = 121,076 : x
  2. Step 2: Convert to fraction form
    57,322/121,076 = 121,076/x
  3. Step 3: Cross multiply
    57,322x = 121,076 × 121,076
  4. Step 4: Simplify right side
    57,322x = 14,659,397,776
  5. Step 5: Solve for x
    x = 14,659,397,776/57,322
  6. Step 6: Final answer
    x = 255,737.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.