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Finding the Third Proportional to 66,595.50 and 142,668

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Solution

The third proportional to 66,595.50 and 142,668 is: 305,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,595.50 : 142,668 = 142,668 : x
  2. Step 2: Convert to fraction form
    66,595.50/142,668 = 142,668/x
  3. Step 3: Cross multiply
    66,595.50x = 142,668 × 142,668
  4. Step 4: Simplify right side
    66,595.50x = 20,354,158,224
  5. Step 5: Solve for x
    x = 20,354,158,224/66,595.50
  6. Step 6: Final answer
    x = 305,638.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.