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Finding the Third Proportional to 132,418.13 and 196,052.06

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Solution

The third proportional to 132,418.13 and 196,052.06 is: 290,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,418.13 : 196,052.06 = 196,052.06 : x
  2. Step 2: Convert to fraction form
    132,418.13/196,052.06 = 196,052.06/x
  3. Step 3: Cross multiply
    132,418.13x = 196,052.06 × 196,052.06
  4. Step 4: Simplify right side
    132,418.13x = 38,436,411,210.50
  5. Step 5: Solve for x
    x = 38,436,411,210.50/132,418.13
  6. Step 6: Final answer
    x = 290,265.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.