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Finding the Third Proportional to 46,617 and 100,605

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Solution

The third proportional to 46,617 and 100,605 is: 217,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,617 : 100,605 = 100,605 : x
  2. Step 2: Convert to fraction form
    46,617/100,605 = 100,605/x
  3. Step 3: Cross multiply
    46,617x = 100,605 × 100,605
  4. Step 4: Simplify right side
    46,617x = 10,121,366,025
  5. Step 5: Solve for x
    x = 10,121,366,025/46,617
  6. Step 6: Final answer
    x = 217,117.49

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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.