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Finding the Third Proportional to 100,664 and 272,861.50

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Solution

The third proportional to 100,664 and 272,861.50 is: 739,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,664 : 272,861.50 = 272,861.50 : x
  2. Step 2: Convert to fraction form
    100,664/272,861.50 = 272,861.50/x
  3. Step 3: Cross multiply
    100,664x = 272,861.50 × 272,861.50
  4. Step 4: Simplify right side
    100,664x = 74,453,398,182.25
  5. Step 5: Solve for x
    x = 74,453,398,182.25/100,664
  6. Step 6: Final answer
    x = 739,622.89

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.