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Finding the Third Proportional to 127,153.50 and 196,709.44

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Solution

The third proportional to 127,153.50 and 196,709.44 is: 304,314.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,153.50 : 196,709.44 = 196,709.44 : x
  2. Step 2: Convert to fraction form
    127,153.50/196,709.44 = 196,709.44/x
  3. Step 3: Cross multiply
    127,153.50x = 196,709.44 × 196,709.44
  4. Step 4: Simplify right side
    127,153.50x = 38,694,602,801.57
  5. Step 5: Solve for x
    x = 38,694,602,801.57/127,153.50
  6. Step 6: Final answer
    x = 304,314.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.