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Finding the Third Proportional to 46,295 and 69,138

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Solution

The third proportional to 46,295 and 69,138 is: 103,252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,295 : 69,138 = 69,138 : x
  2. Step 2: Convert to fraction form
    46,295/69,138 = 69,138/x
  3. Step 3: Cross multiply
    46,295x = 69,138 × 69,138
  4. Step 4: Simplify right side
    46,295x = 4,780,063,044
  5. Step 5: Solve for x
    x = 4,780,063,044/46,295
  6. Step 6: Final answer
    x = 103,252.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.