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Finding the Third Proportional to 134,590 and 196,043

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Solution

The third proportional to 134,590 and 196,043 is: 285,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,590 : 196,043 = 196,043 : x
  2. Step 2: Convert to fraction form
    134,590/196,043 = 196,043/x
  3. Step 3: Cross multiply
    134,590x = 196,043 × 196,043
  4. Step 4: Simplify right side
    134,590x = 38,432,857,849
  5. Step 5: Solve for x
    x = 38,432,857,849/134,590
  6. Step 6: Final answer
    x = 285,555.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.