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Finding the Third Proportional to 66,435 and 141,483

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Solution

The third proportional to 66,435 and 141,483 is: 301,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,435 : 141,483 = 141,483 : x
  2. Step 2: Convert to fraction form
    66,435/141,483 = 141,483/x
  3. Step 3: Cross multiply
    66,435x = 141,483 × 141,483
  4. Step 4: Simplify right side
    66,435x = 20,017,439,289
  5. Step 5: Solve for x
    x = 20,017,439,289/66,435
  6. Step 6: Final answer
    x = 301,308.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.