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Finding the Third Proportional to 68,534.54 and 102,233.71

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Solution

The third proportional to 68,534.54 and 102,233.71 is: 152,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,534.54 : 102,233.71 = 102,233.71 : x
  2. Step 2: Convert to fraction form
    68,534.54/102,233.71 = 102,233.71/x
  3. Step 3: Cross multiply
    68,534.54x = 102,233.71 × 102,233.71
  4. Step 4: Simplify right side
    68,534.54x = 10,451,730,853.35
  5. Step 5: Solve for x
    x = 10,451,730,853.35/68,534.54
  6. Step 6: Final answer
    x = 152,503.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.