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Finding the Third Proportional to 102,723.19 and 224,132.06

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Solution

The third proportional to 102,723.19 and 224,132.06 is: 489,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,723.19 : 224,132.06 = 224,132.06 : x
  2. Step 2: Convert to fraction form
    102,723.19/224,132.06 = 224,132.06/x
  3. Step 3: Cross multiply
    102,723.19x = 224,132.06 × 224,132.06
  4. Step 4: Simplify right side
    102,723.19x = 50,235,181,440.50
  5. Step 5: Solve for x
    x = 50,235,181,440.50/102,723.19
  6. Step 6: Final answer
    x = 489,034.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.