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Finding the Third Proportional to 42,482 and 93,122

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Solution

The third proportional to 42,482 and 93,122 is: 204,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,482 : 93,122 = 93,122 : x
  2. Step 2: Convert to fraction form
    42,482/93,122 = 93,122/x
  3. Step 3: Cross multiply
    42,482x = 93,122 × 93,122
  4. Step 4: Simplify right side
    42,482x = 8,671,706,884
  5. Step 5: Solve for x
    x = 8,671,706,884/42,482
  6. Step 6: Final answer
    x = 204,126.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.