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Finding the Third Proportional to 97,320 and 146,676

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Solution

The third proportional to 97,320 and 146,676 is: 221,062.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,320 : 146,676 = 146,676 : x
  2. Step 2: Convert to fraction form
    97,320/146,676 = 146,676/x
  3. Step 3: Cross multiply
    97,320x = 146,676 × 146,676
  4. Step 4: Simplify right side
    97,320x = 21,513,848,976
  5. Step 5: Solve for x
    x = 21,513,848,976/97,320
  6. Step 6: Final answer
    x = 221,062.98

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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.