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Finding the Third Proportional to 46,733 and 102,514

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Solution

The third proportional to 46,733 and 102,514 is: 224,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,733 : 102,514 = 102,514 : x
  2. Step 2: Convert to fraction form
    46,733/102,514 = 102,514/x
  3. Step 3: Cross multiply
    46,733x = 102,514 × 102,514
  4. Step 4: Simplify right side
    46,733x = 10,509,120,196
  5. Step 5: Solve for x
    x = 10,509,120,196/46,733
  6. Step 6: Final answer
    x = 224,875.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.