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Finding the Third Proportional to 63,114 and 134,984

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Solution

The third proportional to 63,114 and 134,984 is: 288,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,114 : 134,984 = 134,984 : x
  2. Step 2: Convert to fraction form
    63,114/134,984 = 134,984/x
  3. Step 3: Cross multiply
    63,114x = 134,984 × 134,984
  4. Step 4: Simplify right side
    63,114x = 18,220,680,256
  5. Step 5: Solve for x
    x = 18,220,680,256/63,114
  6. Step 6: Final answer
    x = 288,694.75

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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.