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Finding the Third Proportional to 46,208 and 97,246

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Solution

The third proportional to 46,208 and 97,246 is: 204,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,208 : 97,246 = 97,246 : x
  2. Step 2: Convert to fraction form
    46,208/97,246 = 97,246/x
  3. Step 3: Cross multiply
    46,208x = 97,246 × 97,246
  4. Step 4: Simplify right side
    46,208x = 9,456,784,516
  5. Step 5: Solve for x
    x = 9,456,784,516/46,208
  6. Step 6: Final answer
    x = 204,656.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.