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Finding the Third Proportional to 109,212.75 and 163,657.13

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Solution

The third proportional to 109,212.75 and 163,657.13 is: 245,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,212.75 : 163,657.13 = 163,657.13 : x
  2. Step 2: Convert to fraction form
    109,212.75/163,657.13 = 163,657.13/x
  3. Step 3: Cross multiply
    109,212.75x = 163,657.13 × 163,657.13
  4. Step 4: Simplify right side
    109,212.75x = 26,783,654,563.27
  5. Step 5: Solve for x
    x = 26,783,654,563.27/109,212.75
  6. Step 6: Final answer
    x = 245,242.93

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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.