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Finding the Third Proportional to 46,674 and 97,902

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Solution

The third proportional to 46,674 and 97,902 is: 205,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674 : 97,902 = 97,902 : x
  2. Step 2: Convert to fraction form
    46,674/97,902 = 97,902/x
  3. Step 3: Cross multiply
    46,674x = 97,902 × 97,902
  4. Step 4: Simplify right side
    46,674x = 9,584,801,604
  5. Step 5: Solve for x
    x = 9,584,801,604/46,674
  6. Step 6: Final answer
    x = 205,356.34

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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.