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Finding the Third Proportional to 46,156 and 69,157

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Solution

The third proportional to 46,156 and 69,157 is: 103,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,156 : 69,157 = 69,157 : x
  2. Step 2: Convert to fraction form
    46,156/69,157 = 69,157/x
  3. Step 3: Cross multiply
    46,156x = 69,157 × 69,157
  4. Step 4: Simplify right side
    46,156x = 4,782,690,649
  5. Step 5: Solve for x
    x = 4,782,690,649/46,156
  6. Step 6: Final answer
    x = 103,620.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.