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Finding the Third Proportional to 46,733 and 101,354

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Solution

The third proportional to 46,733 and 101,354 is: 219,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,733 : 101,354 = 101,354 : x
  2. Step 2: Convert to fraction form
    46,733/101,354 = 101,354/x
  3. Step 3: Cross multiply
    46,733x = 101,354 × 101,354
  4. Step 4: Simplify right side
    46,733x = 10,272,633,316
  5. Step 5: Solve for x
    x = 10,272,633,316/46,733
  6. Step 6: Final answer
    x = 219,815.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.