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Finding the Third Proportional to 66,472 and 143,507

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Solution

The third proportional to 66,472 and 143,507 is: 309,818.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,472 : 143,507 = 143,507 : x
  2. Step 2: Convert to fraction form
    66,472/143,507 = 143,507/x
  3. Step 3: Cross multiply
    66,472x = 143,507 × 143,507
  4. Step 4: Simplify right side
    66,472x = 20,594,259,049
  5. Step 5: Solve for x
    x = 20,594,259,049/66,472
  6. Step 6: Final answer
    x = 309,818.56

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