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Finding the Third Proportional to 42,518 and 66,207

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Solution

The third proportional to 42,518 and 66,207 is: 103,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,518 : 66,207 = 66,207 : x
  2. Step 2: Convert to fraction form
    42,518/66,207 = 66,207/x
  3. Step 3: Cross multiply
    42,518x = 66,207 × 66,207
  4. Step 4: Simplify right side
    42,518x = 4,383,366,849
  5. Step 5: Solve for x
    x = 4,383,366,849/42,518
  6. Step 6: Final answer
    x = 103,094.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.