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Finding the Third Proportional to 119,077.50 and 254,531

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Solution

The third proportional to 119,077.50 and 254,531 is: 544,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,077.50 : 254,531 = 254,531 : x
  2. Step 2: Convert to fraction form
    119,077.50/254,531 = 254,531/x
  3. Step 3: Cross multiply
    119,077.50x = 254,531 × 254,531
  4. Step 4: Simplify right side
    119,077.50x = 64,786,029,961
  5. Step 5: Solve for x
    x = 64,786,029,961/119,077.50
  6. Step 6: Final answer
    x = 544,066.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.