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Finding the Third Proportional to 46,210 and 97,250

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Solution

The third proportional to 46,210 and 97,250 is: 204,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,210 : 97,250 = 97,250 : x
  2. Step 2: Convert to fraction form
    46,210/97,250 = 97,250/x
  3. Step 3: Cross multiply
    46,210x = 97,250 × 97,250
  4. Step 4: Simplify right side
    46,210x = 9,457,562,500
  5. Step 5: Solve for x
    x = 9,457,562,500/46,210
  6. Step 6: Final answer
    x = 204,664.85

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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.