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Finding the Third Proportional to 46,206 and 71,518

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Solution

The third proportional to 46,206 and 71,518 is: 110,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,206 : 71,518 = 71,518 : x
  2. Step 2: Convert to fraction form
    46,206/71,518 = 71,518/x
  3. Step 3: Cross multiply
    46,206x = 71,518 × 71,518
  4. Step 4: Simplify right side
    46,206x = 5,114,824,324
  5. Step 5: Solve for x
    x = 5,114,824,324/46,206
  6. Step 6: Final answer
    x = 110,696.11

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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.