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Finding the Third Proportional to 46,210 and 69,733

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Solution

The third proportional to 46,210 and 69,733 is: 105,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,210 : 69,733 = 69,733 : x
  2. Step 2: Convert to fraction form
    46,210/69,733 = 69,733/x
  3. Step 3: Cross multiply
    46,210x = 69,733 × 69,733
  4. Step 4: Simplify right side
    46,210x = 4,862,691,289
  5. Step 5: Solve for x
    x = 4,862,691,289/46,210
  6. Step 6: Final answer
    x = 105,230.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.