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Finding the Third Proportional to 42,273 and 89,261

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Solution

The third proportional to 42,273 and 89,261 is: 188,477.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,273 : 89,261 = 89,261 : x
  2. Step 2: Convert to fraction form
    42,273/89,261 = 89,261/x
  3. Step 3: Cross multiply
    42,273x = 89,261 × 89,261
  4. Step 4: Simplify right side
    42,273x = 7,967,526,121
  5. Step 5: Solve for x
    x = 7,967,526,121/42,273
  6. Step 6: Final answer
    x = 188,477.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.