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Finding the Third Proportional to 109,566.56 and 164,349.56

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Solution

The third proportional to 109,566.56 and 164,349.56 is: 246,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,566.56 : 164,349.56 = 164,349.56 : x
  2. Step 2: Convert to fraction form
    109,566.56/164,349.56 = 164,349.56/x
  3. Step 3: Cross multiply
    109,566.56x = 164,349.56 × 164,349.56
  4. Step 4: Simplify right side
    109,566.56x = 27,010,778,693.94
  5. Step 5: Solve for x
    x = 27,010,778,693.94/109,566.56
  6. Step 6: Final answer
    x = 246,523.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.