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Finding the Third Proportional to 153,096.75 and 200,120.63

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Solution

The third proportional to 153,096.75 and 200,120.63 is: 261,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,096.75 : 200,120.63 = 200,120.63 : x
  2. Step 2: Convert to fraction form
    153,096.75/200,120.63 = 200,120.63/x
  3. Step 3: Cross multiply
    153,096.75x = 200,120.63 × 200,120.63
  4. Step 4: Simplify right side
    153,096.75x = 40,048,264,550.39
  5. Step 5: Solve for x
    x = 40,048,264,550.39/153,096.75
  6. Step 6: Final answer
    x = 261,587.95

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.