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Finding the Third Proportional to 109,602 and 235,836

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Solution

The third proportional to 109,602 and 235,836 is: 507,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,602 : 235,836 = 235,836 : x
  2. Step 2: Convert to fraction form
    109,602/235,836 = 235,836/x
  3. Step 3: Cross multiply
    109,602x = 235,836 × 235,836
  4. Step 4: Simplify right side
    109,602x = 55,618,618,896
  5. Step 5: Solve for x
    x = 55,618,618,896/109,602
  6. Step 6: Final answer
    x = 507,459.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.