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Finding the Third Proportional to 73,026 and 149,506

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Solution

The third proportional to 73,026 and 149,506 is: 306,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,026 : 149,506 = 149,506 : x
  2. Step 2: Convert to fraction form
    73,026/149,506 = 149,506/x
  3. Step 3: Cross multiply
    73,026x = 149,506 × 149,506
  4. Step 4: Simplify right side
    73,026x = 22,352,044,036
  5. Step 5: Solve for x
    x = 22,352,044,036/73,026
  6. Step 6: Final answer
    x = 306,083.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.