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Finding the Third Proportional to 57,314 and 121,060

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Solution

The third proportional to 57,314 and 121,060 is: 255,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,314 : 121,060 = 121,060 : x
  2. Step 2: Convert to fraction form
    57,314/121,060 = 121,060/x
  3. Step 3: Cross multiply
    57,314x = 121,060 × 121,060
  4. Step 4: Simplify right side
    57,314x = 14,655,523,600
  5. Step 5: Solve for x
    x = 14,655,523,600/57,314
  6. Step 6: Final answer
    x = 255,705.82

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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.