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Finding the Third Proportional to 106,581 and 235,393.50

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Solution

The third proportional to 106,581 and 235,393.50 is: 519,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,581 : 235,393.50 = 235,393.50 : x
  2. Step 2: Convert to fraction form
    106,581/235,393.50 = 235,393.50/x
  3. Step 3: Cross multiply
    106,581x = 235,393.50 × 235,393.50
  4. Step 4: Simplify right side
    106,581x = 55,410,099,842.25
  5. Step 5: Solve for x
    x = 55,410,099,842.25/106,581
  6. Step 6: Final answer
    x = 519,887.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.