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Finding the Third Proportional to 74,461 and 159,310

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Solution

The third proportional to 74,461 and 159,310 is: 340,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,461 : 159,310 = 159,310 : x
  2. Step 2: Convert to fraction form
    74,461/159,310 = 159,310/x
  3. Step 3: Cross multiply
    74,461x = 159,310 × 159,310
  4. Step 4: Simplify right side
    74,461x = 25,379,676,100
  5. Step 5: Solve for x
    x = 25,379,676,100/74,461
  6. Step 6: Final answer
    x = 340,845.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.