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Finding the Third Proportional to 66,259.69 and 147,219.19

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Solution

The third proportional to 66,259.69 and 147,219.19 is: 327,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,259.69 : 147,219.19 = 147,219.19 : x
  2. Step 2: Convert to fraction form
    66,259.69/147,219.19 = 147,219.19/x
  3. Step 3: Cross multiply
    66,259.69x = 147,219.19 × 147,219.19
  4. Step 4: Simplify right side
    66,259.69x = 21,673,489,168.16
  5. Step 5: Solve for x
    x = 21,673,489,168.16/66,259.69
  6. Step 6: Final answer
    x = 327,099.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.