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Finding the Third Proportional to 46,746 and 100,134

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Solution

The third proportional to 46,746 and 100,134 is: 214,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,746 : 100,134 = 100,134 : x
  2. Step 2: Convert to fraction form
    46,746/100,134 = 100,134/x
  3. Step 3: Cross multiply
    46,746x = 100,134 × 100,134
  4. Step 4: Simplify right side
    46,746x = 10,026,817,956
  5. Step 5: Solve for x
    x = 10,026,817,956/46,746
  6. Step 6: Final answer
    x = 214,495.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.