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Finding the Third Proportional to 46,251 and 99,705

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Solution

The third proportional to 46,251 and 99,705 is: 214,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,251 : 99,705 = 99,705 : x
  2. Step 2: Convert to fraction form
    46,251/99,705 = 99,705/x
  3. Step 3: Cross multiply
    46,251x = 99,705 × 99,705
  4. Step 4: Simplify right side
    46,251x = 9,941,087,025
  5. Step 5: Solve for x
    x = 9,941,087,025/46,251
  6. Step 6: Final answer
    x = 214,937.77

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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.