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Finding the Third Proportional to 73,523 and 159,490

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Solution

The third proportional to 73,523 and 159,490 is: 345,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,523 : 159,490 = 159,490 : x
  2. Step 2: Convert to fraction form
    73,523/159,490 = 159,490/x
  3. Step 3: Cross multiply
    73,523x = 159,490 × 159,490
  4. Step 4: Simplify right side
    73,523x = 25,437,060,100
  5. Step 5: Solve for x
    x = 25,437,060,100/73,523
  6. Step 6: Final answer
    x = 345,974.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.