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Finding the Third Proportional to 63,818 and 135,708

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Solution

The third proportional to 63,818 and 135,708 is: 288,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,818 : 135,708 = 135,708 : x
  2. Step 2: Convert to fraction form
    63,818/135,708 = 135,708/x
  3. Step 3: Cross multiply
    63,818x = 135,708 × 135,708
  4. Step 4: Simplify right side
    63,818x = 18,416,661,264
  5. Step 5: Solve for x
    x = 18,416,661,264/63,818
  6. Step 6: Final answer
    x = 288,580.98

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.