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Finding the Third Proportional to 46,578 and 100,534

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Solution

The third proportional to 46,578 and 100,534 is: 216,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,578 : 100,534 = 100,534 : x
  2. Step 2: Convert to fraction form
    46,578/100,534 = 100,534/x
  3. Step 3: Cross multiply
    46,578x = 100,534 × 100,534
  4. Step 4: Simplify right side
    46,578x = 10,107,085,156
  5. Step 5: Solve for x
    x = 10,107,085,156/46,578
  6. Step 6: Final answer
    x = 216,992.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.