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Finding the Third Proportional to 97,314 and 146,668

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Solution

The third proportional to 97,314 and 146,668 is: 221,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314 : 146,668 = 146,668 : x
  2. Step 2: Convert to fraction form
    97,314/146,668 = 146,668/x
  3. Step 3: Cross multiply
    97,314x = 146,668 × 146,668
  4. Step 4: Simplify right side
    97,314x = 21,511,502,224
  5. Step 5: Solve for x
    x = 21,511,502,224/97,314
  6. Step 6: Final answer
    x = 221,052.49

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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.