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Finding the Third Proportional to 63,438 and 92,158

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Solution

The third proportional to 63,438 and 92,158 is: 133,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,438 : 92,158 = 92,158 : x
  2. Step 2: Convert to fraction form
    63,438/92,158 = 92,158/x
  3. Step 3: Cross multiply
    63,438x = 92,158 × 92,158
  4. Step 4: Simplify right side
    63,438x = 8,493,096,964
  5. Step 5: Solve for x
    x = 8,493,096,964/63,438
  6. Step 6: Final answer
    x = 133,880.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.