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Finding the Third Proportional to 74,025 and 150,798

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Solution

The third proportional to 74,025 and 150,798 is: 307,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,025 : 150,798 = 150,798 : x
  2. Step 2: Convert to fraction form
    74,025/150,798 = 150,798/x
  3. Step 3: Cross multiply
    74,025x = 150,798 × 150,798
  4. Step 4: Simplify right side
    74,025x = 22,740,036,804
  5. Step 5: Solve for x
    x = 22,740,036,804/74,025
  6. Step 6: Final answer
    x = 307,194.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.