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Finding the Third Proportional to 97,728 and 147,411

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Solution

The third proportional to 97,728 and 147,411 is: 222,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,728 : 147,411 = 147,411 : x
  2. Step 2: Convert to fraction form
    97,728/147,411 = 147,411/x
  3. Step 3: Cross multiply
    97,728x = 147,411 × 147,411
  4. Step 4: Simplify right side
    97,728x = 21,730,002,921
  5. Step 5: Solve for x
    x = 21,730,002,921/97,728
  6. Step 6: Final answer
    x = 222,351.86

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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.