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Finding the Third Proportional to 123,961.50 and 254,457

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Solution

The third proportional to 123,961.50 and 254,457 is: 522,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,961.50 : 254,457 = 254,457 : x
  2. Step 2: Convert to fraction form
    123,961.50/254,457 = 254,457/x
  3. Step 3: Cross multiply
    123,961.50x = 254,457 × 254,457
  4. Step 4: Simplify right side
    123,961.50x = 64,748,364,849
  5. Step 5: Solve for x
    x = 64,748,364,849/123,961.50
  6. Step 6: Final answer
    x = 522,326.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.