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Finding the Third Proportional to 63,084.38 and 133,276.88

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Solution

The third proportional to 63,084.38 and 133,276.88 is: 281,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,084.38 : 133,276.88 = 133,276.88 : x
  2. Step 2: Convert to fraction form
    63,084.38/133,276.88 = 133,276.88/x
  3. Step 3: Cross multiply
    63,084.38x = 133,276.88 × 133,276.88
  4. Step 4: Simplify right side
    63,084.38x = 17,762,725,409.77
  5. Step 5: Solve for x
    x = 17,762,725,409.77/63,084.38
  6. Step 6: Final answer
    x = 281,570.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.