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Finding the Third Proportional to 91,372.50 and 185,256

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Solution

The third proportional to 91,372.50 and 185,256 is: 375,603.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,372.50 : 185,256 = 185,256 : x
  2. Step 2: Convert to fraction form
    91,372.50/185,256 = 185,256/x
  3. Step 3: Cross multiply
    91,372.50x = 185,256 × 185,256
  4. Step 4: Simplify right side
    91,372.50x = 34,319,785,536
  5. Step 5: Solve for x
    x = 34,319,785,536/91,372.50
  6. Step 6: Final answer
    x = 375,603.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.