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Finding the Third Proportional to 97,640 and 146,460

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Solution

The third proportional to 97,640 and 146,460 is: 219,690

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,640 : 146,460 = 146,460 : x
  2. Step 2: Convert to fraction form
    97,640/146,460 = 146,460/x
  3. Step 3: Cross multiply
    97,640x = 146,460 × 146,460
  4. Step 4: Simplify right side
    97,640x = 21,450,531,600
  5. Step 5: Solve for x
    x = 21,450,531,600/97,640
  6. Step 6: Final answer
    x = 219,690

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.