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Finding the Third Proportional to 63,219.39 and 135,434.53

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Solution

The third proportional to 63,219.39 and 135,434.53 is: 290,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,219.39 : 135,434.53 = 135,434.53 : x
  2. Step 2: Convert to fraction form
    63,219.39/135,434.53 = 135,434.53/x
  3. Step 3: Cross multiply
    63,219.39x = 135,434.53 × 135,434.53
  4. Step 4: Simplify right side
    63,219.39x = 18,342,512,254.91
  5. Step 5: Solve for x
    x = 18,342,512,254.91/63,219.39
  6. Step 6: Final answer
    x = 290,140.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.