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Finding the Third Proportional to 46,730 and 105,161

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Solution

The third proportional to 46,730 and 105,161 is: 236,653.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,730 : 105,161 = 105,161 : x
  2. Step 2: Convert to fraction form
    46,730/105,161 = 105,161/x
  3. Step 3: Cross multiply
    46,730x = 105,161 × 105,161
  4. Step 4: Simplify right side
    46,730x = 11,058,835,921
  5. Step 5: Solve for x
    x = 11,058,835,921/46,730
  6. Step 6: Final answer
    x = 236,653.88

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.