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Finding the Third Proportional to 66,364.31 and 143,294.06

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Solution

The third proportional to 66,364.31 and 143,294.06 is: 309,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,364.31 : 143,294.06 = 143,294.06 : x
  2. Step 2: Convert to fraction form
    66,364.31/143,294.06 = 143,294.06/x
  3. Step 3: Cross multiply
    66,364.31x = 143,294.06 × 143,294.06
  4. Step 4: Simplify right side
    66,364.31x = 20,533,188,347.75
  5. Step 5: Solve for x
    x = 20,533,188,347.75/66,364.31
  6. Step 6: Final answer
    x = 309,401.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.