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Finding the Third Proportional to 118,715.50 and 252,875

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Solution

The third proportional to 118,715.50 and 252,875 is: 538,647.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,715.50 : 252,875 = 252,875 : x
  2. Step 2: Convert to fraction form
    118,715.50/252,875 = 252,875/x
  3. Step 3: Cross multiply
    118,715.50x = 252,875 × 252,875
  4. Step 4: Simplify right side
    118,715.50x = 63,945,765,625
  5. Step 5: Solve for x
    x = 63,945,765,625/118,715.50
  6. Step 6: Final answer
    x = 538,647.15

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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.