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Finding the Third Proportional to 100,328.63 and 133,748.72

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Solution

The third proportional to 100,328.63 and 133,748.72 is: 178,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,328.63 : 133,748.72 = 133,748.72 : x
  2. Step 2: Convert to fraction form
    100,328.63/133,748.72 = 133,748.72/x
  3. Step 3: Cross multiply
    100,328.63x = 133,748.72 × 133,748.72
  4. Step 4: Simplify right side
    100,328.63x = 17,888,719,767.27
  5. Step 5: Solve for x
    x = 17,888,719,767.27/100,328.63
  6. Step 6: Final answer
    x = 178,301.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.