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Finding the Third Proportional to 46,146 and 71,296

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Solution

The third proportional to 46,146 and 71,296 is: 110,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,146 : 71,296 = 71,296 : x
  2. Step 2: Convert to fraction form
    46,146/71,296 = 71,296/x
  3. Step 3: Cross multiply
    46,146x = 71,296 × 71,296
  4. Step 4: Simplify right side
    46,146x = 5,083,119,616
  5. Step 5: Solve for x
    x = 5,083,119,616/46,146
  6. Step 6: Final answer
    x = 110,152.98

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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.