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Finding the Third Proportional to 66,627.75 and 147,270

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Solution

The third proportional to 66,627.75 and 147,270 is: 325,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,627.75 : 147,270 = 147,270 : x
  2. Step 2: Convert to fraction form
    66,627.75/147,270 = 147,270/x
  3. Step 3: Cross multiply
    66,627.75x = 147,270 × 147,270
  4. Step 4: Simplify right side
    66,627.75x = 21,688,452,900
  5. Step 5: Solve for x
    x = 21,688,452,900/66,627.75
  6. Step 6: Final answer
    x = 325,516.81

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.