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Finding the Third Proportional to 63,400 and 88,640

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Solution

The third proportional to 63,400 and 88,640 is: 123,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,400 : 88,640 = 88,640 : x
  2. Step 2: Convert to fraction form
    63,400/88,640 = 88,640/x
  3. Step 3: Cross multiply
    63,400x = 88,640 × 88,640
  4. Step 4: Simplify right side
    63,400x = 7,857,049,600
  5. Step 5: Solve for x
    x = 7,857,049,600/63,400
  6. Step 6: Final answer
    x = 123,928.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.