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Finding the Third Proportional to 46,102 and 71,314

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Solution

The third proportional to 46,102 and 71,314 is: 110,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,102 : 71,314 = 71,314 : x
  2. Step 2: Convert to fraction form
    46,102/71,314 = 71,314/x
  3. Step 3: Cross multiply
    46,102x = 71,314 × 71,314
  4. Step 4: Simplify right side
    46,102x = 5,085,686,596
  5. Step 5: Solve for x
    x = 5,085,686,596/46,102
  6. Step 6: Final answer
    x = 110,313.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.