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Finding the Third Proportional to 74,545 and 149,028

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Solution

The third proportional to 74,545 and 149,028 is: 297,932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,545 : 149,028 = 149,028 : x
  2. Step 2: Convert to fraction form
    74,545/149,028 = 149,028/x
  3. Step 3: Cross multiply
    74,545x = 149,028 × 149,028
  4. Step 4: Simplify right side
    74,545x = 22,209,344,784
  5. Step 5: Solve for x
    x = 22,209,344,784/74,545
  6. Step 6: Final answer
    x = 297,932.05

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.