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Finding the Third Proportional to 46,499 and 100,726

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Solution

The third proportional to 46,499 and 100,726 is: 218,192.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,499 : 100,726 = 100,726 : x
  2. Step 2: Convert to fraction form
    46,499/100,726 = 100,726/x
  3. Step 3: Cross multiply
    46,499x = 100,726 × 100,726
  4. Step 4: Simplify right side
    46,499x = 10,145,727,076
  5. Step 5: Solve for x
    x = 10,145,727,076/46,499
  6. Step 6: Final answer
    x = 218,192.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.